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Finding the Fourth Proportional to 225,520.10, 338,319.24 and 75,775

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Solution

The fourth proportional to 225,520.10, 338,319.24 and 75,775 is: 113,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,520.10 : 338,319.24 = 75,775 : x
  2. Step 2: Convert to fraction form
    225,520.10/338,319.24 = 75,775/x
  3. Step 3: Cross multiply
    225,520.10x = 338,319.24 × 75,775
  4. Step 4: Simplify right side
    225,520.10x = 25,636,140,411
  5. Step 5: Solve for x
    x = 25,636,140,411/225,520.10
  6. Step 6: Final answer
    x = 113,675.63

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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.