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Finding the Fourth Proportional to 172,760.64, 258,737.76 and 133,002.24

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Solution

The fourth proportional to 172,760.64, 258,737.76 and 133,002.24 is: 199,192.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,760.64 : 258,737.76 = 133,002.24 : x
  2. Step 2: Convert to fraction form
    172,760.64/258,737.76 = 133,002.24/x
  3. Step 3: Cross multiply
    172,760.64x = 258,737.76 × 133,002.24
  4. Step 4: Simplify right side
    172,760.64x = 34,412,701,652.58
  5. Step 5: Solve for x
    x = 34,412,701,652.58/172,760.64
  6. Step 6: Final answer
    x = 199,192.95

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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.