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Finding the Fourth Proportional to 242,531.70, 363,711.15 and 84,765.30

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Solution

The fourth proportional to 242,531.70, 363,711.15 and 84,765.30 is: 127,117.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,531.70 : 363,711.15 = 84,765.30 : x
  2. Step 2: Convert to fraction form
    242,531.70/363,711.15 = 84,765.30/x
  3. Step 3: Cross multiply
    242,531.70x = 363,711.15 × 84,765.30
  4. Step 4: Simplify right side
    242,531.70x = 30,830,084,743.10
  5. Step 5: Solve for x
    x = 30,830,084,743.10/242,531.70
  6. Step 6: Final answer
    x = 127,117.75

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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.