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Finding the Fourth Proportional to 242,241.20, 363,016.20 and 178,564.40

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Solution

The fourth proportional to 242,241.20, 363,016.20 and 178,564.40 is: 267,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,241.20 : 363,016.20 = 178,564.40 : x
  2. Step 2: Convert to fraction form
    242,241.20/363,016.20 = 178,564.40/x
  3. Step 3: Cross multiply
    242,241.20x = 363,016.20 × 178,564.40
  4. Step 4: Simplify right side
    242,241.20x = 64,821,769,943.28
  5. Step 5: Solve for x
    x = 64,821,769,943.28/242,241.20
  6. Step 6: Final answer
    x = 267,591.85

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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.