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Finding the Fourth Proportional to 150,003.40, 225,062.70 and 147,641.80

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Solution

The fourth proportional to 150,003.40, 225,062.70 and 147,641.80 is: 221,519.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,003.40 : 225,062.70 = 147,641.80 : x
  2. Step 2: Convert to fraction form
    150,003.40/225,062.70 = 147,641.80/x
  3. Step 3: Cross multiply
    150,003.40x = 225,062.70 × 147,641.80
  4. Step 4: Simplify right side
    150,003.40x = 33,228,662,140.86
  5. Step 5: Solve for x
    x = 33,228,662,140.86/150,003.40
  6. Step 6: Final answer
    x = 221,519.39

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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.