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Finding the Fourth Proportional to 228,573.42, 342,882.70 and 78,793.98

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Solution

The fourth proportional to 228,573.42, 342,882.70 and 78,793.98 is: 118,198.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,573.42 : 342,882.70 = 78,793.98 : x
  2. Step 2: Convert to fraction form
    228,573.42/342,882.70 = 78,793.98/x
  3. Step 3: Cross multiply
    228,573.42x = 342,882.70 × 78,793.98
  4. Step 4: Simplify right side
    228,573.42x = 27,017,092,606.15
  5. Step 5: Solve for x
    x = 27,017,092,606.15/228,573.42
  6. Step 6: Final answer
    x = 118,198.75

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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.