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Finding the Fourth Proportional to 98,339.94, 147,370.39 and 75,765.22

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Solution

The fourth proportional to 98,339.94, 147,370.39 and 75,765.22 is: 113,540.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,339.94 : 147,370.39 = 75,765.22 : x
  2. Step 2: Convert to fraction form
    98,339.94/147,370.39 = 75,765.22/x
  3. Step 3: Cross multiply
    98,339.94x = 147,370.39 × 75,765.22
  4. Step 4: Simplify right side
    98,339.94x = 11,165,550,019.84
  5. Step 5: Solve for x
    x = 11,165,550,019.84/98,339.94
  6. Step 6: Final answer
    x = 113,540.34

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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.