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Finding the Fourth Proportional to 120,410.85, 180,561.60 and 45,506.10

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Solution

The fourth proportional to 120,410.85, 180,561.60 and 45,506.10 is: 68,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,410.85 : 180,561.60 = 45,506.10 : x
  2. Step 2: Convert to fraction form
    120,410.85/180,561.60 = 45,506.10/x
  3. Step 3: Cross multiply
    120,410.85x = 180,561.60 × 45,506.10
  4. Step 4: Simplify right side
    120,410.85x = 8,216,654,225.76
  5. Step 5: Solve for x
    x = 8,216,654,225.76/120,410.85
  6. Step 6: Final answer
    x = 68,238.49

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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.