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Finding the Fourth Proportional to 366,122.40, 548,492.40 and 188,023.20

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Solution

The fourth proportional to 366,122.40, 548,492.40 and 188,023.20 is: 281,679.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,122.40 : 548,492.40 = 188,023.20 : x
  2. Step 2: Convert to fraction form
    366,122.40/548,492.40 = 188,023.20/x
  3. Step 3: Cross multiply
    366,122.40x = 548,492.40 × 188,023.20
  4. Step 4: Simplify right side
    366,122.40x = 103,129,296,223.68
  5. Step 5: Solve for x
    x = 103,129,296,223.68/366,122.40
  6. Step 6: Final answer
    x = 281,679.83

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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.