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Finding the Fourth Proportional to 242,781.91, 364,320.49 and 102,540.54

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Solution

The fourth proportional to 242,781.91, 364,320.49 and 102,540.54 is: 153,873.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,781.91 : 364,320.49 = 102,540.54 : x
  2. Step 2: Convert to fraction form
    242,781.91/364,320.49 = 102,540.54/x
  3. Step 3: Cross multiply
    242,781.91x = 364,320.49 × 102,540.54
  4. Step 4: Simplify right side
    242,781.91x = 37,357,617,956.06
  5. Step 5: Solve for x
    x = 37,357,617,956.06/242,781.91
  6. Step 6: Final answer
    x = 153,873.15

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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.