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Finding the Fourth Proportional to 132,493.16, 198,280.44 and 126,981.92

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Solution

The fourth proportional to 132,493.16, 198,280.44 and 126,981.92 is: 190,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,493.16 : 198,280.44 = 126,981.92 : x
  2. Step 2: Convert to fraction form
    132,493.16/198,280.44 = 126,981.92/x
  3. Step 3: Cross multiply
    132,493.16x = 198,280.44 × 126,981.92
  4. Step 4: Simplify right side
    132,493.16x = 25,178,029,978.24
  5. Step 5: Solve for x
    x = 25,178,029,978.24/132,493.16
  6. Step 6: Final answer
    x = 190,032.68

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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.