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Finding the Fourth Proportional to 123,862.32, 170,932.68 and 76,088.16

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Solution

The fourth proportional to 123,862.32, 170,932.68 and 76,088.16 is: 105,003.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,862.32 : 170,932.68 = 76,088.16 : x
  2. Step 2: Convert to fraction form
    123,862.32/170,932.68 = 76,088.16/x
  3. Step 3: Cross multiply
    123,862.32x = 170,932.68 × 76,088.16
  4. Step 4: Simplify right side
    123,862.32x = 13,005,953,105.07
  5. Step 5: Solve for x
    x = 13,005,953,105.07/123,862.32
  6. Step 6: Final answer
    x = 105,003.31

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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.