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Finding the Fourth Proportional to 196,891.20, 295,135.20 and 96,897.60

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Solution

The fourth proportional to 196,891.20, 295,135.20 and 96,897.60 is: 145,247.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,891.20 : 295,135.20 = 96,897.60 : x
  2. Step 2: Convert to fraction form
    196,891.20/295,135.20 = 96,897.60/x
  3. Step 3: Cross multiply
    196,891.20x = 295,135.20 × 96,897.60
  4. Step 4: Simplify right side
    196,891.20x = 28,597,892,555.52
  5. Step 5: Solve for x
    x = 28,597,892,555.52/196,891.20
  6. Step 6: Final answer
    x = 145,247.19

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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.