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Finding the Fourth Proportional to 119,557.62, 164,989.53 and 65,842.47

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Solution

The fourth proportional to 119,557.62, 164,989.53 and 65,842.47 is: 90,862.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,557.62 : 164,989.53 = 65,842.47 : x
  2. Step 2: Convert to fraction form
    119,557.62/164,989.53 = 65,842.47/x
  3. Step 3: Cross multiply
    119,557.62x = 164,989.53 × 65,842.47
  4. Step 4: Simplify right side
    119,557.62x = 10,863,318,179.34
  5. Step 5: Solve for x
    x = 10,863,318,179.34/119,557.62
  6. Step 6: Final answer
    x = 90,862.62

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Why These Related Problems?

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