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Finding the Fourth Proportional to 242,257.80, 363,257.10 and 101,857.80

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Solution

The fourth proportional to 242,257.80, 363,257.10 and 101,857.80 is: 152,732.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,257.80 : 363,257.10 = 101,857.80 : x
  2. Step 2: Convert to fraction form
    242,257.80/363,257.10 = 101,857.80/x
  3. Step 3: Cross multiply
    242,257.80x = 363,257.10 × 101,857.80
  4. Step 4: Simplify right side
    242,257.80x = 37,000,569,040.38
  5. Step 5: Solve for x
    x = 37,000,569,040.38/242,257.80
  6. Step 6: Final answer
    x = 152,732.21

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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.