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Finding the Fourth Proportional to 137,884.97, 207,002.45 and 117,239.69

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Solution

The fourth proportional to 137,884.97, 207,002.45 and 117,239.69 is: 176,008.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,884.97 : 207,002.45 = 117,239.69 : x
  2. Step 2: Convert to fraction form
    137,884.97/207,002.45 = 117,239.69/x
  3. Step 3: Cross multiply
    137,884.97x = 207,002.45 × 117,239.69
  4. Step 4: Simplify right side
    137,884.97x = 24,268,902,325.33
  5. Step 5: Solve for x
    x = 24,268,902,325.33/137,884.97
  6. Step 6: Final answer
    x = 176,008.33

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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.