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Finding the Fourth Proportional to 197,255.80, 295,446.30 and 78,866.20

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Solution

The fourth proportional to 197,255.80, 295,446.30 and 78,866.20 is: 118,124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,255.80 : 295,446.30 = 78,866.20 : x
  2. Step 2: Convert to fraction form
    197,255.80/295,446.30 = 78,866.20/x
  3. Step 3: Cross multiply
    197,255.80x = 295,446.30 × 78,866.20
  4. Step 4: Simplify right side
    197,255.80x = 23,300,726,985.06
  5. Step 5: Solve for x
    x = 23,300,726,985.06/197,255.80
  6. Step 6: Final answer
    x = 118,124.42

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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.