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Finding the Fourth Proportional to 108,908.30, 163,362.45 and 82,297.10

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Solution

The fourth proportional to 108,908.30, 163,362.45 and 82,297.10 is: 123,445.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,908.30 : 163,362.45 = 82,297.10 : x
  2. Step 2: Convert to fraction form
    108,908.30/163,362.45 = 82,297.10/x
  3. Step 3: Cross multiply
    108,908.30x = 163,362.45 × 82,297.10
  4. Step 4: Simplify right side
    108,908.30x = 13,444,255,883.90
  5. Step 5: Solve for x
    x = 13,444,255,883.90/108,908.30
  6. Step 6: Final answer
    x = 123,445.65

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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.