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Finding the Fourth Proportional to 151,267.38, 208,753.53 and 83,291.46

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Solution

The fourth proportional to 151,267.38, 208,753.53 and 83,291.46 is: 114,944.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,267.38 : 208,753.53 = 83,291.46 : x
  2. Step 2: Convert to fraction form
    151,267.38/208,753.53 = 83,291.46/x
  3. Step 3: Cross multiply
    151,267.38x = 208,753.53 × 83,291.46
  4. Step 4: Simplify right side
    151,267.38x = 17,387,386,293.85
  5. Step 5: Solve for x
    x = 17,387,386,293.85/151,267.38
  6. Step 6: Final answer
    x = 114,944.72

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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.