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Finding the Fourth Proportional to 228,049.60, 342,147.30 and 78,385.90

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Solution

The fourth proportional to 228,049.60, 342,147.30 and 78,385.90 is: 117,603.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,049.60 : 342,147.30 = 78,385.90 : x
  2. Step 2: Convert to fraction form
    228,049.60/342,147.30 = 78,385.90/x
  3. Step 3: Cross multiply
    228,049.60x = 342,147.30 × 78,385.90
  4. Step 4: Simplify right side
    228,049.60x = 26,819,524,043.07
  5. Step 5: Solve for x
    x = 26,819,524,043.07/228,049.60
  6. Step 6: Final answer
    x = 117,603.91

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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.