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Finding the Fourth Proportional to 196,830.80, 295,246.20 and 186,462.80

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Solution

The fourth proportional to 196,830.80, 295,246.20 and 186,462.80 is: 279,694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,830.80 : 295,246.20 = 186,462.80 : x
  2. Step 2: Convert to fraction form
    196,830.80/295,246.20 = 186,462.80/x
  3. Step 3: Cross multiply
    196,830.80x = 295,246.20 × 186,462.80
  4. Step 4: Simplify right side
    196,830.80x = 55,052,433,141.36
  5. Step 5: Solve for x
    x = 55,052,433,141.36/196,830.80
  6. Step 6: Final answer
    x = 279,694.20

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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.