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Finding the Fourth Proportional to 120,254.60, 180,819.30 and 117,630.20

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Solution

The fourth proportional to 120,254.60, 180,819.30 and 117,630.20 is: 176,873.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,254.60 : 180,819.30 = 117,630.20 : x
  2. Step 2: Convert to fraction form
    120,254.60/180,819.30 = 117,630.20/x
  3. Step 3: Cross multiply
    120,254.60x = 180,819.30 × 117,630.20
  4. Step 4: Simplify right side
    120,254.60x = 21,269,810,422.86
  5. Step 5: Solve for x
    x = 21,269,810,422.86/120,254.60
  6. Step 6: Final answer
    x = 176,873.15

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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.