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Finding the Fourth Proportional to 176,002.10, 264,003.15 and 156,302.90

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Solution

The fourth proportional to 176,002.10, 264,003.15 and 156,302.90 is: 234,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,002.10 : 264,003.15 = 156,302.90 : x
  2. Step 2: Convert to fraction form
    176,002.10/264,003.15 = 156,302.90/x
  3. Step 3: Cross multiply
    176,002.10x = 264,003.15 × 156,302.90
  4. Step 4: Simplify right side
    176,002.10x = 41,264,457,954.14
  5. Step 5: Solve for x
    x = 41,264,457,954.14/176,002.10
  6. Step 6: Final answer
    x = 234,454.35

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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.