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Finding the Fourth Proportional to 208,015.40, 312,023.10 and 182,354.60

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Solution

The fourth proportional to 208,015.40, 312,023.10 and 182,354.60 is: 273,531.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,015.40 : 312,023.10 = 182,354.60 : x
  2. Step 2: Convert to fraction form
    208,015.40/312,023.10 = 182,354.60/x
  3. Step 3: Cross multiply
    208,015.40x = 312,023.10 × 182,354.60
  4. Step 4: Simplify right side
    208,015.40x = 56,898,847,591.26
  5. Step 5: Solve for x
    x = 56,898,847,591.26/208,015.40
  6. Step 6: Final answer
    x = 273,531.90

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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.