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Finding the Fourth Proportional to 146,947.20, 220,478.40 and 53,462.40

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Solution

The fourth proportional to 146,947.20, 220,478.40 and 53,462.40 is: 80,214.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,947.20 : 220,478.40 = 53,462.40 : x
  2. Step 2: Convert to fraction form
    146,947.20/220,478.40 = 53,462.40/x
  3. Step 3: Cross multiply
    146,947.20x = 220,478.40 × 53,462.40
  4. Step 4: Simplify right side
    146,947.20x = 11,787,304,412.16
  5. Step 5: Solve for x
    x = 11,787,304,412.16/146,947.20
  6. Step 6: Final answer
    x = 80,214.56

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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.