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Finding the Fourth Proportional to 206,841.68, 309,975.46 and 94,246.72

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Solution

The fourth proportional to 206,841.68, 309,975.46 and 94,246.72 is: 141,239.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,841.68 : 309,975.46 = 94,246.72 : x
  2. Step 2: Convert to fraction form
    206,841.68/309,975.46 = 94,246.72/x
  3. Step 3: Cross multiply
    206,841.68x = 309,975.46 × 94,246.72
  4. Step 4: Simplify right side
    206,841.68x = 29,214,170,385.49
  5. Step 5: Solve for x
    x = 29,214,170,385.49/206,841.68
  6. Step 6: Final answer
    x = 141,239.28

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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.