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Finding the Fourth Proportional to 120,386.70, 180,545.22 and 36,143.46

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Solution

The fourth proportional to 120,386.70, 180,545.22 and 36,143.46 is: 54,204.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,386.70 : 180,545.22 = 36,143.46 : x
  2. Step 2: Convert to fraction form
    120,386.70/180,545.22 = 36,143.46/x
  3. Step 3: Cross multiply
    120,386.70x = 180,545.22 × 36,143.46
  4. Step 4: Simplify right side
    120,386.70x = 6,525,528,937.26
  5. Step 5: Solve for x
    x = 6,525,528,937.26/120,386.70
  6. Step 6: Final answer
    x = 54,204.73

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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.