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Finding the Fourth Proportional to 100,876, 151,300.38 and 41,703.46

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Solution

The fourth proportional to 100,876, 151,300.38 and 41,703.46 is: 62,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,876 : 151,300.38 = 41,703.46 : x
  2. Step 2: Convert to fraction form
    100,876/151,300.38 = 41,703.46/x
  3. Step 3: Cross multiply
    100,876x = 151,300.38 × 41,703.46
  4. Step 4: Simplify right side
    100,876x = 6,309,749,345.31
  5. Step 5: Solve for x
    x = 6,309,749,345.31/100,876
  6. Step 6: Final answer
    x = 62,549.56

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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.