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Finding the Fourth Proportional to 206,089.35, 284,261.28 and 144,965.19

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Solution

The fourth proportional to 206,089.35, 284,261.28 and 144,965.19 is: 199,952.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,089.35 : 284,261.28 = 144,965.19 : x
  2. Step 2: Convert to fraction form
    206,089.35/284,261.28 = 144,965.19/x
  3. Step 3: Cross multiply
    206,089.35x = 284,261.28 × 144,965.19
  4. Step 4: Simplify right side
    206,089.35x = 41,207,990,464.84
  5. Step 5: Solve for x
    x = 41,207,990,464.84/206,089.35
  6. Step 6: Final answer
    x = 199,952.06

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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.