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Finding the Fourth Proportional to 97,615.92, 134,609.40 and 83,515.44

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Solution

The fourth proportional to 97,615.92, 134,609.40 and 83,515.44 is: 115,165.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,615.92 : 134,609.40 = 83,515.44 : x
  2. Step 2: Convert to fraction form
    97,615.92/134,609.40 = 83,515.44/x
  3. Step 3: Cross multiply
    97,615.92x = 134,609.40 × 83,515.44
  4. Step 4: Simplify right side
    97,615.92x = 11,241,963,269.14
  5. Step 5: Solve for x
    x = 11,241,963,269.14/97,615.92
  6. Step 6: Final answer
    x = 115,165.26

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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.