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Finding the Fourth Proportional to 196,800.30, 295,200.45 and 185,974.65

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Solution

The fourth proportional to 196,800.30, 295,200.45 and 185,974.65 is: 278,961.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,800.30 : 295,200.45 = 185,974.65 : x
  2. Step 2: Convert to fraction form
    196,800.30/295,200.45 = 185,974.65/x
  3. Step 3: Cross multiply
    196,800.30x = 295,200.45 × 185,974.65
  4. Step 4: Simplify right side
    196,800.30x = 54,899,800,368.59
  5. Step 5: Solve for x
    x = 54,899,800,368.59/196,800.30
  6. Step 6: Final answer
    x = 278,961.98

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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.