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Finding the Fourth Proportional to 137,294.20, 205,722.60 and 101,864.80

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Solution

The fourth proportional to 137,294.20, 205,722.60 and 101,864.80 is: 152,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,294.20 : 205,722.60 = 101,864.80 : x
  2. Step 2: Convert to fraction form
    137,294.20/205,722.60 = 101,864.80/x
  3. Step 3: Cross multiply
    137,294.20x = 205,722.60 × 101,864.80
  4. Step 4: Simplify right side
    137,294.20x = 20,955,891,504.48
  5. Step 5: Solve for x
    x = 20,955,891,504.48/137,294.20
  6. Step 6: Final answer
    x = 152,634.94

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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.