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Finding the Fourth Proportional to 206,902.16, 310,489.34 and 113,473.52

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Solution

The fourth proportional to 206,902.16, 310,489.34 and 113,473.52 is: 170,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,902.16 : 310,489.34 = 113,473.52 : x
  2. Step 2: Convert to fraction form
    206,902.16/310,489.34 = 113,473.52/x
  3. Step 3: Cross multiply
    206,902.16x = 310,489.34 × 113,473.52
  4. Step 4: Simplify right side
    206,902.16x = 35,232,318,332.28
  5. Step 5: Solve for x
    x = 35,232,318,332.28/206,902.16
  6. Step 6: Final answer
    x = 170,284.92

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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.