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Finding the Fourth Proportional to 151,331.91, 208,839.48 and 83,350.42

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Solution

The fourth proportional to 151,331.91, 208,839.48 and 83,350.42 is: 115,024.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,331.91 : 208,839.48 = 83,350.42 : x
  2. Step 2: Convert to fraction form
    151,331.91/208,839.48 = 83,350.42/x
  3. Step 3: Cross multiply
    151,331.91x = 208,839.48 × 83,350.42
  4. Step 4: Simplify right side
    151,331.91x = 17,406,858,370.58
  5. Step 5: Solve for x
    x = 17,406,858,370.58/151,331.91
  6. Step 6: Final answer
    x = 115,024.38

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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.