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Finding the Fourth Proportional to 242,287.30, 363,207.39 and 130,046.14

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Solution

The fourth proportional to 242,287.30, 363,207.39 and 130,046.14 is: 194,949.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,287.30 : 363,207.39 = 130,046.14 : x
  2. Step 2: Convert to fraction form
    242,287.30/363,207.39 = 130,046.14/x
  3. Step 3: Cross multiply
    242,287.30x = 363,207.39 × 130,046.14
  4. Step 4: Simplify right side
    242,287.30x = 47,233,719,088.97
  5. Step 5: Solve for x
    x = 47,233,719,088.97/242,287.30
  6. Step 6: Final answer
    x = 194,949.22

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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.