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Finding the Fourth Proportional to 272,711.68, 376,242.24 and 165,204.16

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Solution

The fourth proportional to 272,711.68, 376,242.24 and 165,204.16 is: 227,921.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,711.68 : 376,242.24 = 165,204.16 : x
  2. Step 2: Convert to fraction form
    272,711.68/376,242.24 = 165,204.16/x
  3. Step 3: Cross multiply
    272,711.68x = 376,242.24 × 165,204.16
  4. Step 4: Simplify right side
    272,711.68x = 62,156,783,215.72
  5. Step 5: Solve for x
    x = 62,156,783,215.72/272,711.68
  6. Step 6: Final answer
    x = 227,921.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.