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Finding the Fourth Proportional to 242,260.91, 363,363.68 and 64,781.75

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Solution

The fourth proportional to 242,260.91, 363,363.68 and 64,781.75 is: 97,165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,260.91 : 363,363.68 = 64,781.75 : x
  2. Step 2: Convert to fraction form
    242,260.91/363,363.68 = 64,781.75/x
  3. Step 3: Cross multiply
    242,260.91x = 363,363.68 × 64,781.75
  4. Step 4: Simplify right side
    242,260.91x = 23,539,336,464.11
  5. Step 5: Solve for x
    x = 23,539,336,464.11/242,260.91
  6. Step 6: Final answer
    x = 97,165.23

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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.