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Finding the Fourth Proportional to 232,034.20, 347,921.70 and 98,891.80

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Solution

The fourth proportional to 232,034.20, 347,921.70 and 98,891.80 is: 148,282.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,034.20 : 347,921.70 = 98,891.80 : x
  2. Step 2: Convert to fraction form
    232,034.20/347,921.70 = 98,891.80/x
  3. Step 3: Cross multiply
    232,034.20x = 347,921.70 × 98,891.80
  4. Step 4: Simplify right side
    232,034.20x = 34,406,603,172.06
  5. Step 5: Solve for x
    x = 34,406,603,172.06/232,034.20
  6. Step 6: Final answer
    x = 148,282.47

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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.