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Finding the Fourth Proportional to 146,951.80, 220,233.30 and 130,233.40

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Solution

The fourth proportional to 146,951.80, 220,233.30 and 130,233.40 is: 195,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,951.80 : 220,233.30 = 130,233.40 : x
  2. Step 2: Convert to fraction form
    146,951.80/220,233.30 = 130,233.40/x
  3. Step 3: Cross multiply
    146,951.80x = 220,233.30 × 130,233.40
  4. Step 4: Simplify right side
    146,951.80x = 28,681,731,452.22
  5. Step 5: Solve for x
    x = 28,681,731,452.22/146,951.80
  6. Step 6: Final answer
    x = 195,177.82

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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.