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Finding the Fourth Proportional to 206,430.33, 309,547.89 and 80,131.08

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Solution

The fourth proportional to 206,430.33, 309,547.89 and 80,131.08 is: 120,158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,430.33 : 309,547.89 = 80,131.08 : x
  2. Step 2: Convert to fraction form
    206,430.33/309,547.89 = 80,131.08/x
  3. Step 3: Cross multiply
    206,430.33x = 309,547.89 × 80,131.08
  4. Step 4: Simplify right side
    206,430.33x = 24,804,406,737.42
  5. Step 5: Solve for x
    x = 24,804,406,737.42/206,430.33
  6. Step 6: Final answer
    x = 120,158.73

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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.