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Finding the Fourth Proportional to 196,975.20, 295,462.80 and 185,311.20

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Solution

The fourth proportional to 196,975.20, 295,462.80 and 185,311.20 is: 277,966.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,975.20 : 295,462.80 = 185,311.20 : x
  2. Step 2: Convert to fraction form
    196,975.20/295,462.80 = 185,311.20/x
  3. Step 3: Cross multiply
    196,975.20x = 295,462.80 × 185,311.20
  4. Step 4: Simplify right side
    196,975.20x = 54,752,566,023.36
  5. Step 5: Solve for x
    x = 54,752,566,023.36/196,975.20
  6. Step 6: Final answer
    x = 277,966.80

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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.