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Finding the Fourth Proportional to 206,779.64, 309,972.48 and 66,439.76

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Solution

The fourth proportional to 206,779.64, 309,972.48 and 66,439.76 is: 99,596.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,779.64 : 309,972.48 = 66,439.76 : x
  2. Step 2: Convert to fraction form
    206,779.64/309,972.48 = 66,439.76/x
  3. Step 3: Cross multiply
    206,779.64x = 309,972.48 × 66,439.76
  4. Step 4: Simplify right side
    206,779.64x = 20,594,497,177.80
  5. Step 5: Solve for x
    x = 20,594,497,177.80/206,779.64
  6. Step 6: Final answer
    x = 99,596.35

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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.