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Finding the Fourth Proportional to 242,040.80, 363,061.20 and 137,064.80

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Solution

The fourth proportional to 242,040.80, 363,061.20 and 137,064.80 is: 205,597.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,040.80 : 363,061.20 = 137,064.80 : x
  2. Step 2: Convert to fraction form
    242,040.80/363,061.20 = 137,064.80/x
  3. Step 3: Cross multiply
    242,040.80x = 363,061.20 × 137,064.80
  4. Step 4: Simplify right side
    242,040.80x = 49,762,910,765.76
  5. Step 5: Solve for x
    x = 49,762,910,765.76/242,040.80
  6. Step 6: Final answer
    x = 205,597.20

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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.