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Finding the Fourth Proportional to 206,471.60, 309,937.80 and 192,935.60

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Solution

The fourth proportional to 206,471.60, 309,937.80 and 192,935.60 is: 289,618.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,471.60 : 309,937.80 = 192,935.60 : x
  2. Step 2: Convert to fraction form
    206,471.60/309,937.80 = 192,935.60/x
  3. Step 3: Cross multiply
    206,471.60x = 309,937.80 × 192,935.60
  4. Step 4: Simplify right side
    206,471.60x = 59,798,035,405.68
  5. Step 5: Solve for x
    x = 59,798,035,405.68/206,471.60
  6. Step 6: Final answer
    x = 289,618.70

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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.