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Finding the Fourth Proportional to 113,735.30, 170,743.35 and 71,615.30

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Solution

The fourth proportional to 113,735.30, 170,743.35 and 71,615.30 is: 107,511.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,735.30 : 170,743.35 = 71,615.30 : x
  2. Step 2: Convert to fraction form
    113,735.30/170,743.35 = 71,615.30/x
  3. Step 3: Cross multiply
    113,735.30x = 170,743.35 × 71,615.30
  4. Step 4: Simplify right side
    113,735.30x = 12,227,836,233.26
  5. Step 5: Solve for x
    x = 12,227,836,233.26/113,735.30
  6. Step 6: Final answer
    x = 107,511.36

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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.