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Finding the Fourth Proportional to 206,737.60, 309,909.54 and 66,397.82

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Solution

The fourth proportional to 206,737.60, 309,909.54 and 66,397.82 is: 99,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,737.60 : 309,909.54 = 66,397.82 : x
  2. Step 2: Convert to fraction form
    206,737.60/309,909.54 = 66,397.82/x
  3. Step 3: Cross multiply
    206,737.60x = 309,909.54 × 66,397.82
  4. Step 4: Simplify right side
    206,737.60x = 20,577,317,853.20
  5. Step 5: Solve for x
    x = 20,577,317,853.20/206,737.60
  6. Step 6: Final answer
    x = 99,533.50

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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.