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Finding the Fourth Proportional to 194,469.65, 291,212.40 and 185,612.30

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Solution

The fourth proportional to 194,469.65, 291,212.40 and 185,612.30 is: 277,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,469.65 : 291,212.40 = 185,612.30 : x
  2. Step 2: Convert to fraction form
    194,469.65/291,212.40 = 185,612.30/x
  3. Step 3: Cross multiply
    194,469.65x = 291,212.40 × 185,612.30
  4. Step 4: Simplify right side
    194,469.65x = 54,052,603,352.52
  5. Step 5: Solve for x
    x = 54,052,603,352.52/194,469.65
  6. Step 6: Final answer
    x = 277,948.79

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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.