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Finding the Fourth Proportional to 116,061.30, 160,234.49 and 75,842.37

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Solution

The fourth proportional to 116,061.30, 160,234.49 and 75,842.37 is: 104,708.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,061.30 : 160,234.49 = 75,842.37 : x
  2. Step 2: Convert to fraction form
    116,061.30/160,234.49 = 75,842.37/x
  3. Step 3: Cross multiply
    116,061.30x = 160,234.49 × 75,842.37
  4. Step 4: Simplify right side
    116,061.30x = 12,152,563,098.13
  5. Step 5: Solve for x
    x = 12,152,563,098.13/116,061.30
  6. Step 6: Final answer
    x = 104,708.14

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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.