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Finding the Fourth Proportional to 120,618.20, 180,894.90 and 41,756.60

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Solution

The fourth proportional to 120,618.20, 180,894.90 and 41,756.60 is: 62,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,618.20 : 180,894.90 = 41,756.60 : x
  2. Step 2: Convert to fraction form
    120,618.20/180,894.90 = 41,756.60/x
  3. Step 3: Cross multiply
    120,618.20x = 180,894.90 × 41,756.60
  4. Step 4: Simplify right side
    120,618.20x = 7,553,555,981.34
  5. Step 5: Solve for x
    x = 7,553,555,981.34/120,618.20
  6. Step 6: Final answer
    x = 62,623.68

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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.