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Finding the Fourth Proportional to 113,809.20, 170,713.80 and 54,760.20

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Solution

The fourth proportional to 113,809.20, 170,713.80 and 54,760.20 is: 82,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,809.20 : 170,713.80 = 54,760.20 : x
  2. Step 2: Convert to fraction form
    113,809.20/170,713.80 = 54,760.20/x
  3. Step 3: Cross multiply
    113,809.20x = 170,713.80 × 54,760.20
  4. Step 4: Simplify right side
    113,809.20x = 9,348,321,830.76
  5. Step 5: Solve for x
    x = 9,348,321,830.76/113,809.20
  6. Step 6: Final answer
    x = 82,140.30

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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.