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Finding the Fourth Proportional to 120,657.41, 180,874.40 and 44,713.67

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Solution

The fourth proportional to 120,657.41, 180,874.40 and 44,713.67 is: 67,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,657.41 : 180,874.40 = 44,713.67 : x
  2. Step 2: Convert to fraction form
    120,657.41/180,874.40 = 44,713.67/x
  3. Step 3: Cross multiply
    120,657.41x = 180,874.40 × 44,713.67
  4. Step 4: Simplify right side
    120,657.41x = 8,087,558,374.04
  5. Step 5: Solve for x
    x = 8,087,558,374.04/120,657.41
  6. Step 6: Final answer
    x = 67,029.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.