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Finding the Fourth Proportional to 98,336.44, 147,365.14 and 75,761.72

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Solution

The fourth proportional to 98,336.44, 147,365.14 and 75,761.72 is: 113,535.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,336.44 : 147,365.14 = 75,761.72 : x
  2. Step 2: Convert to fraction form
    98,336.44/147,365.14 = 75,761.72/x
  3. Step 3: Cross multiply
    98,336.44x = 147,365.14 × 75,761.72
  4. Step 4: Simplify right side
    98,336.44x = 11,164,636,474.44
  5. Step 5: Solve for x
    x = 11,164,636,474.44/98,336.44
  6. Step 6: Final answer
    x = 113,535.09

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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.