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Finding the Fourth Proportional to 173,835.60, 260,830.20 and 80,293.20

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Solution

The fourth proportional to 173,835.60, 260,830.20 and 80,293.20 is: 120,475.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,835.60 : 260,830.20 = 80,293.20 : x
  2. Step 2: Convert to fraction form
    173,835.60/260,830.20 = 80,293.20/x
  3. Step 3: Cross multiply
    173,835.60x = 260,830.20 × 80,293.20
  4. Step 4: Simplify right side
    173,835.60x = 20,942,891,414.64
  5. Step 5: Solve for x
    x = 20,942,891,414.64/173,835.60
  6. Step 6: Final answer
    x = 120,475.27

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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.