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Finding the Fourth Proportional to 98,414.14, 135,876.89 and 75,713.08

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Solution

The fourth proportional to 98,414.14, 135,876.89 and 75,713.08 is: 104,534.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,414.14 : 135,876.89 = 75,713.08 : x
  2. Step 2: Convert to fraction form
    98,414.14/135,876.89 = 75,713.08/x
  3. Step 3: Cross multiply
    98,414.14x = 135,876.89 × 75,713.08
  4. Step 4: Simplify right side
    98,414.14x = 10,287,657,842.72
  5. Step 5: Solve for x
    x = 10,287,657,842.72/98,414.14
  6. Step 6: Final answer
    x = 104,534.35

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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.