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Finding the Fourth Proportional to 108,033.20, 161,758.20 and 84,705.20

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Solution

The fourth proportional to 108,033.20, 161,758.20 and 84,705.20 is: 126,829.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,033.20 : 161,758.20 = 84,705.20 : x
  2. Step 2: Convert to fraction form
    108,033.20/161,758.20 = 84,705.20/x
  3. Step 3: Cross multiply
    108,033.20x = 161,758.20 × 84,705.20
  4. Step 4: Simplify right side
    108,033.20x = 13,701,760,682.64
  5. Step 5: Solve for x
    x = 13,701,760,682.64/108,033.20
  6. Step 6: Final answer
    x = 126,829.17

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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.