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Finding the Fourth Proportional to 267,233.80, 368,782.80 and 146,377.11

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Solution

The fourth proportional to 267,233.80, 368,782.80 and 146,377.11 is: 202,000.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,233.80 : 368,782.80 = 146,377.11 : x
  2. Step 2: Convert to fraction form
    267,233.80/368,782.80 = 146,377.11/x
  3. Step 3: Cross multiply
    267,233.80x = 368,782.80 × 146,377.11
  4. Step 4: Simplify right side
    267,233.80x = 53,981,360,481.71
  5. Step 5: Solve for x
    x = 53,981,360,481.71/267,233.80
  6. Step 6: Final answer
    x = 202,000.50

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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.