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Finding the Fourth Proportional to 161,872.20, 242,836.07 and 49,549.64

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Solution

The fourth proportional to 161,872.20, 242,836.07 and 49,549.64 is: 74,332.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,872.20 : 242,836.07 = 49,549.64 : x
  2. Step 2: Convert to fraction form
    161,872.20/242,836.07 = 49,549.64/x
  3. Step 3: Cross multiply
    161,872.20x = 242,836.07 × 49,549.64
  4. Step 4: Simplify right side
    161,872.20x = 12,032,438,385.59
  5. Step 5: Solve for x
    x = 12,032,438,385.59/161,872.20
  6. Step 6: Final answer
    x = 74,332.95

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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.