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Finding the Fourth Proportional to 197,104.26, 295,799.04 and 78,809.52

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Solution

The fourth proportional to 197,104.26, 295,799.04 and 78,809.52 is: 118,271.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,104.26 : 295,799.04 = 78,809.52 : x
  2. Step 2: Convert to fraction form
    197,104.26/295,799.04 = 78,809.52/x
  3. Step 3: Cross multiply
    197,104.26x = 295,799.04 × 78,809.52
  4. Step 4: Simplify right side
    197,104.26x = 23,311,780,358.86
  5. Step 5: Solve for x
    x = 23,311,780,358.86/197,104.26
  6. Step 6: Final answer
    x = 118,271.32

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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.