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Finding the Fourth Proportional to 206,253.42, 309,292.65 and 73,167.18

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Solution

The fourth proportional to 206,253.42, 309,292.65 and 73,167.18 is: 109,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,253.42 : 309,292.65 = 73,167.18 : x
  2. Step 2: Convert to fraction form
    206,253.42/309,292.65 = 73,167.18/x
  3. Step 3: Cross multiply
    206,253.42x = 309,292.65 × 73,167.18
  4. Step 4: Simplify right side
    206,253.42x = 22,630,070,995.23
  5. Step 5: Solve for x
    x = 22,630,070,995.23/206,253.42
  6. Step 6: Final answer
    x = 109,719.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.