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Finding the Fourth Proportional to 176,461.02, 264,736.08 and 51,802.02

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Solution

The fourth proportional to 176,461.02, 264,736.08 and 51,802.02 is: 77,716.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,461.02 : 264,736.08 = 51,802.02 : x
  2. Step 2: Convert to fraction form
    176,461.02/264,736.08 = 51,802.02/x
  3. Step 3: Cross multiply
    176,461.02x = 264,736.08 × 51,802.02
  4. Step 4: Simplify right side
    176,461.02x = 13,713,863,710.88
  5. Step 5: Solve for x
    x = 13,713,863,710.88/176,461.02
  6. Step 6: Final answer
    x = 77,716.11

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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.