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Finding the Fourth Proportional to 206,077.60, 309,116.40 and 65,840.80

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Solution

The fourth proportional to 206,077.60, 309,116.40 and 65,840.80 is: 98,761.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,077.60 : 309,116.40 = 65,840.80 : x
  2. Step 2: Convert to fraction form
    206,077.60/309,116.40 = 65,840.80/x
  3. Step 3: Cross multiply
    206,077.60x = 309,116.40 × 65,840.80
  4. Step 4: Simplify right side
    206,077.60x = 20,352,471,069.12
  5. Step 5: Solve for x
    x = 20,352,471,069.12/206,077.60
  6. Step 6: Final answer
    x = 98,761.20

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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.