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Finding the Fourth Proportional to 138,990.69, 208,716.68 and 86,732.33

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Solution

The fourth proportional to 138,990.69, 208,716.68 and 86,732.33 is: 130,242.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,990.69 : 208,716.68 = 86,732.33 : x
  2. Step 2: Convert to fraction form
    138,990.69/208,716.68 = 86,732.33/x
  3. Step 3: Cross multiply
    138,990.69x = 208,716.68 × 86,732.33
  4. Step 4: Simplify right side
    138,990.69x = 18,102,482,489.02
  5. Step 5: Solve for x
    x = 18,102,482,489.02/138,990.69
  6. Step 6: Final answer
    x = 130,242.41

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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.