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Finding the Fourth Proportional to 110,970, 153,138.60 and 71,295.12

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Solution

The fourth proportional to 110,970, 153,138.60 and 71,295.12 is: 98,387.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,970 : 153,138.60 = 71,295.12 : x
  2. Step 2: Convert to fraction form
    110,970/153,138.60 = 71,295.12/x
  3. Step 3: Cross multiply
    110,970x = 153,138.60 × 71,295.12
  4. Step 4: Simplify right side
    110,970x = 10,918,034,863.63
  5. Step 5: Solve for x
    x = 10,918,034,863.63/110,970
  6. Step 6: Final answer
    x = 98,387.27

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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.