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Finding the Fourth Proportional to 209,882.97, 314,731.80 and 60,089.27

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Solution

The fourth proportional to 209,882.97, 314,731.80 and 60,089.27 is: 90,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,882.97 : 314,731.80 = 60,089.27 : x
  2. Step 2: Convert to fraction form
    209,882.97/314,731.80 = 60,089.27/x
  3. Step 3: Cross multiply
    209,882.97x = 314,731.80 × 60,089.27
  4. Step 4: Simplify right side
    209,882.97x = 18,912,002,534.13
  5. Step 5: Solve for x
    x = 18,912,002,534.13/209,882.97
  6. Step 6: Final answer
    x = 90,107.37

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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.