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Finding the Fourth Proportional to 206,805.40, 285,318.76 and 135,227.32

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Solution

The fourth proportional to 206,805.40, 285,318.76 and 135,227.32 is: 186,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,805.40 : 285,318.76 = 135,227.32 : x
  2. Step 2: Convert to fraction form
    206,805.40/285,318.76 = 135,227.32/x
  3. Step 3: Cross multiply
    206,805.40x = 285,318.76 × 135,227.32
  4. Step 4: Simplify right side
    206,805.40x = 38,582,891,260.52
  5. Step 5: Solve for x
    x = 38,582,891,260.52/206,805.40
  6. Step 6: Final answer
    x = 186,566.17

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.