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Finding the Fourth Proportional to 150,432, 225,662.98 and 55,687.52

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Solution

The fourth proportional to 150,432, 225,662.98 and 55,687.52 is: 83,536.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,432 : 225,662.98 = 55,687.52 : x
  2. Step 2: Convert to fraction form
    150,432/225,662.98 = 55,687.52/x
  3. Step 3: Cross multiply
    150,432x = 225,662.98 × 55,687.52
  4. Step 4: Simplify right side
    150,432x = 12,566,611,712.01
  5. Step 5: Solve for x
    x = 12,566,611,712.01/150,432
  6. Step 6: Final answer
    x = 83,536.83

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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.