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Finding the Fourth Proportional to 133,537.20, 200,143.80 and 77,269.20

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Solution

The fourth proportional to 133,537.20, 200,143.80 and 77,269.20 is: 115,810.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,537.20 : 200,143.80 = 77,269.20 : x
  2. Step 2: Convert to fraction form
    133,537.20/200,143.80 = 77,269.20/x
  3. Step 3: Cross multiply
    133,537.20x = 200,143.80 × 77,269.20
  4. Step 4: Simplify right side
    133,537.20x = 15,464,951,310.96
  5. Step 5: Solve for x
    x = 15,464,951,310.96/133,537.20
  6. Step 6: Final answer
    x = 115,810.06

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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.