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Finding the Fourth Proportional to 147,951, 204,173.10 and 80,883

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Solution

The fourth proportional to 147,951, 204,173.10 and 80,883 is: 111,618.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,951 : 204,173.10 = 80,883 : x
  2. Step 2: Convert to fraction form
    147,951/204,173.10 = 80,883/x
  3. Step 3: Cross multiply
    147,951x = 204,173.10 × 80,883
  4. Step 4: Simplify right side
    147,951x = 16,514,132,847.30
  5. Step 5: Solve for x
    x = 16,514,132,847.30/147,951
  6. Step 6: Final answer
    x = 111,618.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.