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Finding the Fourth Proportional to 418,191.94, 627,233.92 and 133,858.70

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Solution

The fourth proportional to 418,191.94, 627,233.92 and 133,858.70 is: 200,770.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,191.94 : 627,233.92 = 133,858.70 : x
  2. Step 2: Convert to fraction form
    418,191.94/627,233.92 = 133,858.70/x
  3. Step 3: Cross multiply
    418,191.94x = 627,233.92 × 133,858.70
  4. Step 4: Simplify right side
    418,191.94x = 83,960,717,127.10
  5. Step 5: Solve for x
    x = 83,960,717,127.10/418,191.94
  6. Step 6: Final answer
    x = 200,770.77

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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.