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Finding the Fourth Proportional to 138,613.68, 208,270.86 and 133,008.68

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Solution

The fourth proportional to 138,613.68, 208,270.86 and 133,008.68 is: 199,849.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,613.68 : 208,270.86 = 133,008.68 : x
  2. Step 2: Convert to fraction form
    138,613.68/208,270.86 = 133,008.68/x
  3. Step 3: Cross multiply
    138,613.68x = 208,270.86 × 133,008.68
  4. Step 4: Simplify right side
    138,613.68x = 27,701,832,171.06
  5. Step 5: Solve for x
    x = 27,701,832,171.06/138,613.68
  6. Step 6: Final answer
    x = 199,849.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.