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Finding the Fourth Proportional to 197,223.80, 295,398.30 and 78,834.20

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Solution

The fourth proportional to 197,223.80, 295,398.30 and 78,834.20 is: 118,076.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,223.80 : 295,398.30 = 78,834.20 : x
  2. Step 2: Convert to fraction form
    197,223.80/295,398.30 = 78,834.20/x
  3. Step 3: Cross multiply
    197,223.80x = 295,398.30 × 78,834.20
  4. Step 4: Simplify right side
    197,223.80x = 23,287,488,661.86
  5. Step 5: Solve for x
    x = 23,287,488,661.86/197,223.80
  6. Step 6: Final answer
    x = 118,076.46

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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.