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Finding the Fourth Proportional to 238,082.96, 357,114.20 and 71,866

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Solution

The fourth proportional to 238,082.96, 357,114.20 and 71,866 is: 107,795.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,082.96 : 357,114.20 = 71,866 : x
  2. Step 2: Convert to fraction form
    238,082.96/357,114.20 = 71,866/x
  3. Step 3: Cross multiply
    238,082.96x = 357,114.20 × 71,866
  4. Step 4: Simplify right side
    238,082.96x = 25,664,369,097.20
  5. Step 5: Solve for x
    x = 25,664,369,097.20/238,082.96
  6. Step 6: Final answer
    x = 107,795.91

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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.