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Finding the Fourth Proportional to 99,159.43, 148,591.44 and 54,798.86

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Solution

The fourth proportional to 99,159.43, 148,591.44 and 54,798.86 is: 82,116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,159.43 : 148,591.44 = 54,798.86 : x
  2. Step 2: Convert to fraction form
    99,159.43/148,591.44 = 54,798.86/x
  3. Step 3: Cross multiply
    99,159.43x = 148,591.44 × 54,798.86
  4. Step 4: Simplify right side
    99,159.43x = 8,142,641,517.76
  5. Step 5: Solve for x
    x = 8,142,641,517.76/99,159.43
  6. Step 6: Final answer
    x = 82,116.66

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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.