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Finding the Fourth Proportional to 120,168.09, 180,264.50 and 45,351.23

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Solution

The fourth proportional to 120,168.09, 180,264.50 and 45,351.23 is: 68,031.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,168.09 : 180,264.50 = 45,351.23 : x
  2. Step 2: Convert to fraction form
    120,168.09/180,264.50 = 45,351.23/x
  3. Step 3: Cross multiply
    120,168.09x = 180,264.50 × 45,351.23
  4. Step 4: Simplify right side
    120,168.09x = 8,175,215,672.26
  5. Step 5: Solve for x
    x = 8,175,215,672.26/120,168.09
  6. Step 6: Final answer
    x = 68,031.50

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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.