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Finding the Fourth Proportional to 185,689, 256,251 and 100,806.04

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Solution

The fourth proportional to 185,689, 256,251 and 100,806.04 is: 139,112.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,689 : 256,251 = 100,806.04 : x
  2. Step 2: Convert to fraction form
    185,689/256,251 = 100,806.04/x
  3. Step 3: Cross multiply
    185,689x = 256,251 × 100,806.04
  4. Step 4: Simplify right side
    185,689x = 25,831,648,556.04
  5. Step 5: Solve for x
    x = 25,831,648,556.04/185,689
  6. Step 6: Final answer
    x = 139,112.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.