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Finding the Fourth Proportional to 100,498.16, 150,606.46 and 75,522.26

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Solution

The fourth proportional to 100,498.16, 150,606.46 and 75,522.26 is: 113,177.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,498.16 : 150,606.46 = 75,522.26 : x
  2. Step 2: Convert to fraction form
    100,498.16/150,606.46 = 75,522.26/x
  3. Step 3: Cross multiply
    100,498.16x = 150,606.46 × 75,522.26
  4. Step 4: Simplify right side
    100,498.16x = 11,374,140,229.80
  5. Step 5: Solve for x
    x = 11,374,140,229.80/100,498.16
  6. Step 6: Final answer
    x = 113,177.60

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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.