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Finding the Fourth Proportional to 228,591.03, 342,902.97 and 78,829.16

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Solution

The fourth proportional to 228,591.03, 342,902.97 and 78,829.16 is: 118,249.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,591.03 : 342,902.97 = 78,829.16 : x
  2. Step 2: Convert to fraction form
    228,591.03/342,902.97 = 78,829.16/x
  3. Step 3: Cross multiply
    228,591.03x = 342,902.97 × 78,829.16
  4. Step 4: Simplify right side
    228,591.03x = 27,030,753,943.86
  5. Step 5: Solve for x
    x = 27,030,753,943.86/228,591.03
  6. Step 6: Final answer
    x = 118,249.41

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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.