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Finding the Fourth Proportional to 275,201.04, 412,801.92 and 75,524.16

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Solution

The fourth proportional to 275,201.04, 412,801.92 and 75,524.16 is: 113,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,201.04 : 412,801.92 = 75,524.16 : x
  2. Step 2: Convert to fraction form
    275,201.04/412,801.92 = 75,524.16/x
  3. Step 3: Cross multiply
    275,201.04x = 412,801.92 × 75,524.16
  4. Step 4: Simplify right side
    275,201.04x = 31,176,518,254.39
  5. Step 5: Solve for x
    x = 31,176,518,254.39/275,201.04
  6. Step 6: Final answer
    x = 113,286.34

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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.