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Finding the Fourth Proportional to 176,695,168.56, 264,697,949.70 and 137,650,802.10

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Solution

The fourth proportional to 176,695,168.56, 264,697,949.70 and 137,650,802.10 is: 206,207,591.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,695,168.56 : 264,697,949.70 = 137,650,802.10 : x
  2. Step 2: Convert to fraction form
    176,695,168.56/264,697,949.70 = 137,650,802.10/x
  3. Step 3: Cross multiply
    176,695,168.56x = 264,697,949.70 × 137,650,802.10
  4. Step 4: Simplify right side
    176,695,168.56x = 36,435,885,090,430,448
  5. Step 5: Solve for x
    x = 36,435,885,090,430,448/176,695,168.56
  6. Step 6: Final answer
    x = 206,207,591.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.