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Finding the Fourth Proportional to 110,714, 152,854.44 and 71,039.12

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Solution

The fourth proportional to 110,714, 152,854.44 and 71,039.12 is: 98,078.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,714 : 152,854.44 = 71,039.12 : x
  2. Step 2: Convert to fraction form
    110,714/152,854.44 = 71,039.12/x
  3. Step 3: Cross multiply
    110,714x = 152,854.44 × 71,039.12
  4. Step 4: Simplify right side
    110,714x = 10,858,644,905.69
  5. Step 5: Solve for x
    x = 10,858,644,905.69/110,714
  6. Step 6: Final answer
    x = 98,078.34

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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.