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Finding the Fourth Proportional to 101,324.20, 152,041.02 and 42,200.68

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Solution

The fourth proportional to 101,324.20, 152,041.02 and 42,200.68 is: 63,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,324.20 : 152,041.02 = 42,200.68 : x
  2. Step 2: Convert to fraction form
    101,324.20/152,041.02 = 42,200.68/x
  3. Step 3: Cross multiply
    101,324.20x = 152,041.02 × 42,200.68
  4. Step 4: Simplify right side
    101,324.20x = 6,416,234,431.89
  5. Step 5: Solve for x
    x = 6,416,234,431.89/101,324.20
  6. Step 6: Final answer
    x = 63,323.81

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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.