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Finding the Fourth Proportional to 92,309.60, 138,365.52 and 65,934.32

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Solution

The fourth proportional to 92,309.60, 138,365.52 and 65,934.32 is: 98,830.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,309.60 : 138,365.52 = 65,934.32 : x
  2. Step 2: Convert to fraction form
    92,309.60/138,365.52 = 65,934.32/x
  3. Step 3: Cross multiply
    92,309.60x = 138,365.52 × 65,934.32
  4. Step 4: Simplify right side
    92,309.60x = 9,123,036,472.65
  5. Step 5: Solve for x
    x = 9,123,036,472.65/92,309.60
  6. Step 6: Final answer
    x = 98,830.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.