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Finding the Fourth Proportional to 267,514.38, 369,167.49 and 146,653.47

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Solution

The fourth proportional to 267,514.38, 369,167.49 and 146,653.47 is: 202,380.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,514.38 : 369,167.49 = 146,653.47 : x
  2. Step 2: Convert to fraction form
    267,514.38/369,167.49 = 146,653.47/x
  3. Step 3: Cross multiply
    267,514.38x = 369,167.49 × 146,653.47
  4. Step 4: Simplify right side
    267,514.38x = 54,139,693,419.69
  5. Step 5: Solve for x
    x = 54,139,693,419.69/267,514.38
  6. Step 6: Final answer
    x = 202,380.50

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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.