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Finding the Fourth Proportional to 108,797.82, 162,875.97 and 106,115.10

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Solution

The fourth proportional to 108,797.82, 162,875.97 and 106,115.10 is: 158,859.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,797.82 : 162,875.97 = 106,115.10 : x
  2. Step 2: Convert to fraction form
    108,797.82/162,875.97 = 106,115.10/x
  3. Step 3: Cross multiply
    108,797.82x = 162,875.97 × 106,115.10
  4. Step 4: Simplify right side
    108,797.82x = 17,283,599,844.15
  5. Step 5: Solve for x
    x = 17,283,599,844.15/108,797.82
  6. Step 6: Final answer
    x = 158,859.80

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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.