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Finding the Fourth Proportional to 109,387.70, 164,081.55 and 104,722.10

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Solution

The fourth proportional to 109,387.70, 164,081.55 and 104,722.10 is: 157,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,387.70 : 164,081.55 = 104,722.10 : x
  2. Step 2: Convert to fraction form
    109,387.70/164,081.55 = 104,722.10/x
  3. Step 3: Cross multiply
    109,387.70x = 164,081.55 × 104,722.10
  4. Step 4: Simplify right side
    109,387.70x = 17,182,964,487.26
  5. Step 5: Solve for x
    x = 17,182,964,487.26/109,387.70
  6. Step 6: Final answer
    x = 157,083.15

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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.