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Finding the Fourth Proportional to 109,693.80, 164,735.10 and 84,794.40

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Solution

The fourth proportional to 109,693.80, 164,735.10 and 84,794.40 is: 127,341.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,693.80 : 164,735.10 = 84,794.40 : x
  2. Step 2: Convert to fraction form
    109,693.80/164,735.10 = 84,794.40/x
  3. Step 3: Cross multiply
    109,693.80x = 164,735.10 × 84,794.40
  4. Step 4: Simplify right side
    109,693.80x = 13,968,613,963.44
  5. Step 5: Solve for x
    x = 13,968,613,963.44/109,693.80
  6. Step 6: Final answer
    x = 127,341.87

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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.