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Finding the Fourth Proportional to 228,593.98, 342,913.52 and 78,814.55

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Solution

The fourth proportional to 228,593.98, 342,913.52 and 78,814.55 is: 118,229.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,593.98 : 342,913.52 = 78,814.55 : x
  2. Step 2: Convert to fraction form
    228,593.98/342,913.52 = 78,814.55/x
  3. Step 3: Cross multiply
    228,593.98x = 342,913.52 × 78,814.55
  4. Step 4: Simplify right side
    228,593.98x = 27,026,575,822.04
  5. Step 5: Solve for x
    x = 27,026,575,822.04/228,593.98
  6. Step 6: Final answer
    x = 118,229.61

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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.