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Finding the Fourth Proportional to 120,399.90, 180,488.16 and 44,456.50

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Solution

The fourth proportional to 120,399.90, 180,488.16 and 44,456.50 is: 66,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,399.90 : 180,488.16 = 44,456.50 : x
  2. Step 2: Convert to fraction form
    120,399.90/180,488.16 = 44,456.50/x
  3. Step 3: Cross multiply
    120,399.90x = 180,488.16 × 44,456.50
  4. Step 4: Simplify right side
    120,399.90x = 8,023,871,447.67
  5. Step 5: Solve for x
    x = 8,023,871,447.67/120,399.90
  6. Step 6: Final answer
    x = 66,643.50

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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.