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Finding the Fourth Proportional to 146,031.76, 218,620.52 and 132,024

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Solution

The fourth proportional to 146,031.76, 218,620.52 and 132,024 is: 197,649.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,031.76 : 218,620.52 = 132,024 : x
  2. Step 2: Convert to fraction form
    146,031.76/218,620.52 = 132,024/x
  3. Step 3: Cross multiply
    146,031.76x = 218,620.52 × 132,024
  4. Step 4: Simplify right side
    146,031.76x = 28,863,155,532.48
  5. Step 5: Solve for x
    x = 28,863,155,532.48/146,031.76
  6. Step 6: Final answer
    x = 197,649.85

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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.