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Finding the Fourth Proportional to 102,834.96, 141,889.20 and 65,087.28

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Solution

The fourth proportional to 102,834.96, 141,889.20 and 65,087.28 is: 89,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,834.96 : 141,889.20 = 65,087.28 : x
  2. Step 2: Convert to fraction form
    102,834.96/141,889.20 = 65,087.28/x
  3. Step 3: Cross multiply
    102,834.96x = 141,889.20 × 65,087.28
  4. Step 4: Simplify right side
    102,834.96x = 9,235,182,089.38
  5. Step 5: Solve for x
    x = 9,235,182,089.38/102,834.96
  6. Step 6: Final answer
    x = 89,805.86

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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.