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Finding the Fourth Proportional to 120,653.50, 180,955.17 and 45,747.82

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Solution

The fourth proportional to 120,653.50, 180,955.17 and 45,747.82 is: 68,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,653.50 : 180,955.17 = 45,747.82 : x
  2. Step 2: Convert to fraction form
    120,653.50/180,955.17 = 45,747.82/x
  3. Step 3: Cross multiply
    120,653.50x = 180,955.17 × 45,747.82
  4. Step 4: Simplify right side
    120,653.50x = 8,278,304,545.23
  5. Step 5: Solve for x
    x = 8,278,304,545.23/120,653.50
  6. Step 6: Final answer
    x = 68,612.22

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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.