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Finding the Fourth Proportional to 206,547.20, 309,820.80 and 194,105.60

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Solution

The fourth proportional to 206,547.20, 309,820.80 and 194,105.60 is: 291,158.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,547.20 : 309,820.80 = 194,105.60 : x
  2. Step 2: Convert to fraction form
    206,547.20/309,820.80 = 194,105.60/x
  3. Step 3: Cross multiply
    206,547.20x = 309,820.80 × 194,105.60
  4. Step 4: Simplify right side
    206,547.20x = 60,137,952,276.48
  5. Step 5: Solve for x
    x = 60,137,952,276.48/206,547.20
  6. Step 6: Final answer
    x = 291,158.40

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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.