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Finding the Fourth Proportional to 123,523.77, 170,400.20 and 78,125.30

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Solution

The fourth proportional to 123,523.77, 170,400.20 and 78,125.30 is: 107,773.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,523.77 : 170,400.20 = 78,125.30 : x
  2. Step 2: Convert to fraction form
    123,523.77/170,400.20 = 78,125.30/x
  3. Step 3: Cross multiply
    123,523.77x = 170,400.20 × 78,125.30
  4. Step 4: Simplify right side
    123,523.77x = 13,312,565,502.43
  5. Step 5: Solve for x
    x = 13,312,565,502.43/123,523.77
  6. Step 6: Final answer
    x = 107,773.31

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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.