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Finding the Fourth Proportional to 132,414, 198,558.48 and 48,114.68

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Solution

The fourth proportional to 132,414, 198,558.48 and 48,114.68 is: 72,149.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,414 : 198,558.48 = 48,114.68 : x
  2. Step 2: Convert to fraction form
    132,414/198,558.48 = 48,114.68/x
  3. Step 3: Cross multiply
    132,414x = 198,558.48 × 48,114.68
  4. Step 4: Simplify right side
    132,414x = 9,553,577,726.49
  5. Step 5: Solve for x
    x = 9,553,577,726.49/132,414
  6. Step 6: Final answer
    x = 72,149.30

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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.