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Finding the Fourth Proportional to 108,321.40, 162,482.10 and 82,077.40

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Solution

The fourth proportional to 108,321.40, 162,482.10 and 82,077.40 is: 123,116.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,321.40 : 162,482.10 = 82,077.40 : x
  2. Step 2: Convert to fraction form
    108,321.40/162,482.10 = 82,077.40/x
  3. Step 3: Cross multiply
    108,321.40x = 162,482.10 × 82,077.40
  4. Step 4: Simplify right side
    108,321.40x = 13,336,108,314.54
  5. Step 5: Solve for x
    x = 13,336,108,314.54/108,321.40
  6. Step 6: Final answer
    x = 123,116.10

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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.