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Finding the Fourth Proportional to 98,340.22, 135,689.16 and 57,496.48

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Solution

The fourth proportional to 98,340.22, 135,689.16 and 57,496.48 is: 79,333.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,340.22 : 135,689.16 = 57,496.48 : x
  2. Step 2: Convert to fraction form
    98,340.22/135,689.16 = 57,496.48/x
  3. Step 3: Cross multiply
    98,340.22x = 135,689.16 × 57,496.48
  4. Step 4: Simplify right side
    98,340.22x = 7,801,648,734.93
  5. Step 5: Solve for x
    x = 7,801,648,734.93/98,340.22
  6. Step 6: Final answer
    x = 79,333.25

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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.