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Finding the Fourth Proportional to 123,534.38, 170,387.43 and 78,219.74

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Solution

The fourth proportional to 123,534.38, 170,387.43 and 78,219.74 is: 107,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,534.38 : 170,387.43 = 78,219.74 : x
  2. Step 2: Convert to fraction form
    123,534.38/170,387.43 = 78,219.74/x
  3. Step 3: Cross multiply
    123,534.38x = 170,387.43 × 78,219.74
  4. Step 4: Simplify right side
    123,534.38x = 13,327,660,473.87
  5. Step 5: Solve for x
    x = 13,327,660,473.87/123,534.38
  6. Step 6: Final answer
    x = 107,886.25

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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.