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Finding the Fourth Proportional to 242,011.04, 363,016.56 and 75,812

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Solution

The fourth proportional to 242,011.04, 363,016.56 and 75,812 is: 113,718

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,011.04 : 363,016.56 = 75,812 : x
  2. Step 2: Convert to fraction form
    242,011.04/363,016.56 = 75,812/x
  3. Step 3: Cross multiply
    242,011.04x = 363,016.56 × 75,812
  4. Step 4: Simplify right side
    242,011.04x = 27,521,011,446.72
  5. Step 5: Solve for x
    x = 27,521,011,446.72/242,011.04
  6. Step 6: Final answer
    x = 113,718

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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.