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Finding the Fourth Proportional to 206,412.40, 309,618.60 and 123,468.40

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Solution

The fourth proportional to 206,412.40, 309,618.60 and 123,468.40 is: 185,202.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,412.40 : 309,618.60 = 123,468.40 : x
  2. Step 2: Convert to fraction form
    206,412.40/309,618.60 = 123,468.40/x
  3. Step 3: Cross multiply
    206,412.40x = 309,618.60 × 123,468.40
  4. Step 4: Simplify right side
    206,412.40x = 38,228,113,152.24
  5. Step 5: Solve for x
    x = 38,228,113,152.24/206,412.40
  6. Step 6: Final answer
    x = 185,202.60

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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.