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Finding the Fourth Proportional to 107,181.78, 147,876.78 and 61,853.76

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Solution

The fourth proportional to 107,181.78, 147,876.78 and 61,853.76 is: 85,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,181.78 : 147,876.78 = 61,853.76 : x
  2. Step 2: Convert to fraction form
    107,181.78/147,876.78 = 61,853.76/x
  3. Step 3: Cross multiply
    107,181.78x = 147,876.78 × 61,853.76
  4. Step 4: Simplify right side
    107,181.78x = 9,146,734,859.69
  5. Step 5: Solve for x
    x = 9,146,734,859.69/107,181.78
  6. Step 6: Final answer
    x = 85,338.52

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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.