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Finding the Fourth Proportional to 242,215.92, 363,348.60 and 92,582.14

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Solution

The fourth proportional to 242,215.92, 363,348.60 and 92,582.14 is: 138,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,215.92 : 363,348.60 = 92,582.14 : x
  2. Step 2: Convert to fraction form
    242,215.92/363,348.60 = 92,582.14/x
  3. Step 3: Cross multiply
    242,215.92x = 363,348.60 × 92,582.14
  4. Step 4: Simplify right side
    242,215.92x = 33,639,590,954.00
  5. Step 5: Solve for x
    x = 33,639,590,954.00/242,215.92
  6. Step 6: Final answer
    x = 138,882.66

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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.