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Finding the Fourth Proportional to 242,719.86, 363,793.76 and 109,444.08

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Solution

The fourth proportional to 242,719.86, 363,793.76 and 109,444.08 is: 164,037.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,719.86 : 363,793.76 = 109,444.08 : x
  2. Step 2: Convert to fraction form
    242,719.86/363,793.76 = 109,444.08/x
  3. Step 3: Cross multiply
    242,719.86x = 363,793.76 × 109,444.08
  4. Step 4: Simplify right side
    242,719.86x = 39,815,073,372.94
  5. Step 5: Solve for x
    x = 39,815,073,372.94/242,719.86
  6. Step 6: Final answer
    x = 164,037.15

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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.