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Finding the Fourth Proportional to 132,591.78, 198,857.30 and 37,820.16

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Solution

The fourth proportional to 132,591.78, 198,857.30 and 37,820.16 is: 56,721.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,591.78 : 198,857.30 = 37,820.16 : x
  2. Step 2: Convert to fraction form
    132,591.78/198,857.30 = 37,820.16/x
  3. Step 3: Cross multiply
    132,591.78x = 198,857.30 × 37,820.16
  4. Step 4: Simplify right side
    132,591.78x = 7,520,815,305.76
  5. Step 5: Solve for x
    x = 7,520,815,305.76/132,591.78
  6. Step 6: Final answer
    x = 56,721.58

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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.