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Finding the Fourth Proportional to 108,705.20, 163,057.80 and 67,233.20

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Solution

The fourth proportional to 108,705.20, 163,057.80 and 67,233.20 is: 100,849.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,705.20 : 163,057.80 = 67,233.20 : x
  2. Step 2: Convert to fraction form
    108,705.20/163,057.80 = 67,233.20/x
  3. Step 3: Cross multiply
    108,705.20x = 163,057.80 × 67,233.20
  4. Step 4: Simplify right side
    108,705.20x = 10,962,897,678.96
  5. Step 5: Solve for x
    x = 10,962,897,678.96/108,705.20
  6. Step 6: Final answer
    x = 100,849.80

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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.