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Finding the Fourth Proportional to 123,406.92, 170,304.66 and 75,686.58

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Solution

The fourth proportional to 123,406.92, 170,304.66 and 75,686.58 is: 104,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,406.92 : 170,304.66 = 75,686.58 : x
  2. Step 2: Convert to fraction form
    123,406.92/170,304.66 = 75,686.58/x
  3. Step 3: Cross multiply
    123,406.92x = 170,304.66 × 75,686.58
  4. Step 4: Simplify right side
    123,406.92x = 12,889,777,273.46
  5. Step 5: Solve for x
    x = 12,889,777,273.46/123,406.92
  6. Step 6: Final answer
    x = 104,449.39

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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.