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Finding the Fourth Proportional to 206,966.39, 285,637.29 and 115,094.84

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Solution

The fourth proportional to 206,966.39, 285,637.29 and 115,094.84 is: 158,844.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,966.39 : 285,637.29 = 115,094.84 : x
  2. Step 2: Convert to fraction form
    206,966.39/285,637.29 = 115,094.84/x
  3. Step 3: Cross multiply
    206,966.39x = 285,637.29 × 115,094.84
  4. Step 4: Simplify right side
    206,966.39x = 32,875,376,762.40
  5. Step 5: Solve for x
    x = 32,875,376,762.40/206,966.39
  6. Step 6: Final answer
    x = 158,844.04

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