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Finding the Fourth Proportional to 206,654.11, 285,317.16 and 126,128.32

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Solution

The fourth proportional to 206,654.11, 285,317.16 and 126,128.32 is: 174,139.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,654.11 : 285,317.16 = 126,128.32 : x
  2. Step 2: Convert to fraction form
    206,654.11/285,317.16 = 126,128.32/x
  3. Step 3: Cross multiply
    206,654.11x = 285,317.16 × 126,128.32
  4. Step 4: Simplify right side
    206,654.11x = 35,986,573,344.68
  5. Step 5: Solve for x
    x = 35,986,573,344.68/206,654.11
  6. Step 6: Final answer
    x = 174,139.16

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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.