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Finding the Fourth Proportional to 82,474.20, 111,427.65 and 82,474.20

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Solution

The fourth proportional to 82,474.20, 111,427.65 and 82,474.20 is: 111,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,474.20 : 111,427.65 = 82,474.20 : x
  2. Step 2: Convert to fraction form
    82,474.20/111,427.65 = 82,474.20/x
  3. Step 3: Cross multiply
    82,474.20x = 111,427.65 × 82,474.20
  4. Step 4: Simplify right side
    82,474.20x = 9,189,906,291.63
  5. Step 5: Solve for x
    x = 9,189,906,291.63/82,474.20
  6. Step 6: Final answer
    x = 111,427.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.