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Finding the Fourth Proportional to 189,726.78, 261,822.87 and 104,843.10

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Solution

The fourth proportional to 189,726.78, 261,822.87 and 104,843.10 is: 144,683.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,726.78 : 261,822.87 = 104,843.10 : x
  2. Step 2: Convert to fraction form
    189,726.78/261,822.87 = 104,843.10/x
  3. Step 3: Cross multiply
    189,726.78x = 261,822.87 × 104,843.10
  4. Step 4: Simplify right side
    189,726.78x = 27,450,321,341.70
  5. Step 5: Solve for x
    x = 27,450,321,341.70/189,726.78
  6. Step 6: Final answer
    x = 144,683.43

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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.