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Finding the Fourth Proportional to 256,107.10, 353,463.42 and 142,937.14

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Solution

The fourth proportional to 256,107.10, 353,463.42 and 142,937.14 is: 197,273.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,107.10 : 353,463.42 = 142,937.14 : x
  2. Step 2: Convert to fraction form
    256,107.10/353,463.42 = 142,937.14/x
  3. Step 3: Cross multiply
    256,107.10x = 353,463.42 × 142,937.14
  4. Step 4: Simplify right side
    256,107.10x = 50,523,050,349.42
  5. Step 5: Solve for x
    x = 50,523,050,349.42/256,107.10
  6. Step 6: Final answer
    x = 197,273.13

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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.