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Finding the Fourth Proportional to 136,234.38, 204,384.38 and 42,740.13

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Solution

The fourth proportional to 136,234.38, 204,384.38 and 42,740.13 is: 64,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,234.38 : 204,384.38 = 42,740.13 : x
  2. Step 2: Convert to fraction form
    136,234.38/204,384.38 = 42,740.13/x
  3. Step 3: Cross multiply
    136,234.38x = 204,384.38 × 42,740.13
  4. Step 4: Simplify right side
    136,234.38x = 8,735,414,971.17
  5. Step 5: Solve for x
    x = 8,735,414,971.17/136,234.38
  6. Step 6: Final answer
    x = 64,120.49

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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.