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Finding the Fourth Proportional to 194,143.20, 291,214.80 and 185,674.65

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Solution

The fourth proportional to 194,143.20, 291,214.80 and 185,674.65 is: 278,511.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,143.20 : 291,214.80 = 185,674.65 : x
  2. Step 2: Convert to fraction form
    194,143.20/291,214.80 = 185,674.65/x
  3. Step 3: Cross multiply
    194,143.20x = 291,214.80 × 185,674.65
  4. Step 4: Simplify right side
    194,143.20x = 54,071,206,064.82
  5. Step 5: Solve for x
    x = 54,071,206,064.82/194,143.20
  6. Step 6: Final answer
    x = 278,511.98

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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.