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Finding the Fourth Proportional to 107,181.77, 147,876.80 and 61,853.76

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Solution

The fourth proportional to 107,181.77, 147,876.80 and 61,853.76 is: 85,338.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,181.77 : 147,876.80 = 61,853.76 : x
  2. Step 2: Convert to fraction form
    107,181.77/147,876.80 = 61,853.76/x
  3. Step 3: Cross multiply
    107,181.77x = 147,876.80 × 61,853.76
  4. Step 4: Simplify right side
    107,181.77x = 9,146,735,787.50
  5. Step 5: Solve for x
    x = 9,146,735,787.50/107,181.77
  6. Step 6: Final answer
    x = 85,338.54

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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.