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Finding the Fourth Proportional to 142,699.76, 212,793.52 and 132,727.04

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Solution

The fourth proportional to 142,699.76, 212,793.52 and 132,727.04 is: 197,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,699.76 : 212,793.52 = 132,727.04 : x
  2. Step 2: Convert to fraction form
    142,699.76/212,793.52 = 132,727.04/x
  3. Step 3: Cross multiply
    142,699.76x = 212,793.52 × 132,727.04
  4. Step 4: Simplify right side
    142,699.76x = 28,243,454,040.78
  5. Step 5: Solve for x
    x = 28,243,454,040.78/142,699.76
  6. Step 6: Final answer
    x = 197,922.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.