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Finding the Fourth Proportional to 206,969.39, 285,641.43 and 115,097.84

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Solution

The fourth proportional to 206,969.39, 285,641.43 and 115,097.84 is: 158,848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,969.39 : 285,641.43 = 115,097.84 : x
  2. Step 2: Convert to fraction form
    206,969.39/285,641.43 = 115,097.84/x
  3. Step 3: Cross multiply
    206,969.39x = 285,641.43 × 115,097.84
  4. Step 4: Simplify right side
    206,969.39x = 32,876,711,607.51
  5. Step 5: Solve for x
    x = 32,876,711,607.51/206,969.39
  6. Step 6: Final answer
    x = 158,848.18

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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.