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Finding the Fourth Proportional to 165,087.52, 227,834.56 and 101,447.44

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Solution

The fourth proportional to 165,087.52, 227,834.56 and 101,447.44 is: 140,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,087.52 : 227,834.56 = 101,447.44 : x
  2. Step 2: Convert to fraction form
    165,087.52/227,834.56 = 101,447.44/x
  3. Step 3: Cross multiply
    165,087.52x = 227,834.56 × 101,447.44
  4. Step 4: Simplify right side
    165,087.52x = 23,113,232,855.53
  5. Step 5: Solve for x
    x = 23,113,232,855.53/165,087.52
  6. Step 6: Final answer
    x = 140,005.94

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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.