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Finding the Fourth Proportional to 267,234.68, 368,784 and 146,377.98

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Solution

The fourth proportional to 267,234.68, 368,784 and 146,377.98 is: 202,001.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,234.68 : 368,784 = 146,377.98 : x
  2. Step 2: Convert to fraction form
    267,234.68/368,784 = 146,377.98/x
  3. Step 3: Cross multiply
    267,234.68x = 368,784 × 146,377.98
  4. Step 4: Simplify right side
    267,234.68x = 53,981,856,976.32
  5. Step 5: Solve for x
    x = 53,981,856,976.32/267,234.68
  6. Step 6: Final answer
    x = 202,001.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.