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Finding the Fourth Proportional to 194,141.20, 291,211.80 and 185,672.65

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Solution

The fourth proportional to 194,141.20, 291,211.80 and 185,672.65 is: 278,508.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,141.20 : 291,211.80 = 185,672.65 : x
  2. Step 2: Convert to fraction form
    194,141.20/291,211.80 = 185,672.65/x
  3. Step 3: Cross multiply
    194,141.20x = 291,211.80 × 185,672.65
  4. Step 4: Simplify right side
    194,141.20x = 54,070,066,617.27
  5. Step 5: Solve for x
    x = 54,070,066,617.27/194,141.20
  6. Step 6: Final answer
    x = 278,508.98

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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.