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Finding the Fourth Proportional to 178,309.45, 267,182.47 and 65,834.65

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Solution

The fourth proportional to 178,309.45, 267,182.47 and 65,834.65 is: 98,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,309.45 : 267,182.47 = 65,834.65 : x
  2. Step 2: Convert to fraction form
    178,309.45/267,182.47 = 65,834.65/x
  3. Step 3: Cross multiply
    178,309.45x = 267,182.47 × 65,834.65
  4. Step 4: Simplify right side
    178,309.45x = 17,589,864,398.59
  5. Step 5: Solve for x
    x = 17,589,864,398.59/178,309.45
  6. Step 6: Final answer
    x = 98,647.97

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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.