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Finding the Fourth Proportional to 101,098.85, 139,508.60 and 55,778.54

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Solution

The fourth proportional to 101,098.85, 139,508.60 and 55,778.54 is: 76,970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,098.85 : 139,508.60 = 55,778.54 : x
  2. Step 2: Convert to fraction form
    101,098.85/139,508.60 = 55,778.54/x
  3. Step 3: Cross multiply
    101,098.85x = 139,508.60 × 55,778.54
  4. Step 4: Simplify right side
    101,098.85x = 7,781,585,049.01
  5. Step 5: Solve for x
    x = 7,781,585,049.01/101,098.85
  6. Step 6: Final answer
    x = 76,970.07

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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.