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Finding the Fourth Proportional to 151,806.80, 227,710.20 and 147,432.80

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Solution

The fourth proportional to 151,806.80, 227,710.20 and 147,432.80 is: 221,149.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,806.80 : 227,710.20 = 147,432.80 : x
  2. Step 2: Convert to fraction form
    151,806.80/227,710.20 = 147,432.80/x
  3. Step 3: Cross multiply
    151,806.80x = 227,710.20 × 147,432.80
  4. Step 4: Simplify right side
    151,806.80x = 33,571,952,374.56
  5. Step 5: Solve for x
    x = 33,571,952,374.56/151,806.80
  6. Step 6: Final answer
    x = 221,149.20

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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.