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Finding the Fourth Proportional to 100,234.32, 150,390.84 and 41,098.32

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Solution

The fourth proportional to 100,234.32, 150,390.84 and 41,098.32 is: 61,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,234.32 : 150,390.84 = 41,098.32 : x
  2. Step 2: Convert to fraction form
    100,234.32/150,390.84 = 41,098.32/x
  3. Step 3: Cross multiply
    100,234.32x = 150,390.84 × 41,098.32
  4. Step 4: Simplify right side
    100,234.32x = 6,180,810,867.39
  5. Step 5: Solve for x
    x = 6,180,810,867.39/100,234.32
  6. Step 6: Final answer
    x = 61,663.62

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1.5x scale

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.