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Finding the Fourth Proportional to 146,863.80, 220,295.70 and 97,000.20

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Solution

The fourth proportional to 146,863.80, 220,295.70 and 97,000.20 is: 145,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,863.80 : 220,295.70 = 97,000.20 : x
  2. Step 2: Convert to fraction form
    146,863.80/220,295.70 = 97,000.20/x
  3. Step 3: Cross multiply
    146,863.80x = 220,295.70 × 97,000.20
  4. Step 4: Simplify right side
    146,863.80x = 21,368,726,959.14
  5. Step 5: Solve for x
    x = 21,368,726,959.14/146,863.80
  6. Step 6: Final answer
    x = 145,500.30

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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.