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Finding the Fourth Proportional to 261,713.85, 392,241.50 and 141,766.22

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Solution

The fourth proportional to 261,713.85, 392,241.50 and 141,766.22 is: 212,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,713.85 : 392,241.50 = 141,766.22 : x
  2. Step 2: Convert to fraction form
    261,713.85/392,241.50 = 141,766.22/x
  3. Step 3: Cross multiply
    261,713.85x = 392,241.50 × 141,766.22
  4. Step 4: Simplify right side
    261,713.85x = 55,606,592,112.09
  5. Step 5: Solve for x
    x = 55,606,592,112.09/261,713.85
  6. Step 6: Final answer
    x = 212,470.96

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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.