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Finding the Fourth Proportional to 194,471.65, 291,215.40 and 185,614.30

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Solution

The fourth proportional to 194,471.65, 291,215.40 and 185,614.30 is: 277,951.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,471.65 : 291,215.40 = 185,614.30 : x
  2. Step 2: Convert to fraction form
    194,471.65/291,215.40 = 185,614.30/x
  3. Step 3: Cross multiply
    194,471.65x = 291,215.40 × 185,614.30
  4. Step 4: Simplify right side
    194,471.65x = 54,053,742,620.22
  5. Step 5: Solve for x
    x = 54,053,742,620.22/194,471.65
  6. Step 6: Final answer
    x = 277,951.79

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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.