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Finding the Fourth Proportional to 206,641.20, 310,155.84 and 101,535.60

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Solution

The fourth proportional to 206,641.20, 310,155.84 and 101,535.60 is: 152,398.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,641.20 : 310,155.84 = 101,535.60 : x
  2. Step 2: Convert to fraction form
    206,641.20/310,155.84 = 101,535.60/x
  3. Step 3: Cross multiply
    206,641.20x = 310,155.84 × 101,535.60
  4. Step 4: Simplify right side
    206,641.20x = 31,491,859,307.90
  5. Step 5: Solve for x
    x = 31,491,859,307.90/206,641.20
  6. Step 6: Final answer
    x = 152,398.74

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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.