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Finding the Fourth Proportional to 101,322.14, 151,982.97 and 95,156.58

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Solution

The fourth proportional to 101,322.14, 151,982.97 and 95,156.58 is: 142,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,322.14 : 151,982.97 = 95,156.58 : x
  2. Step 2: Convert to fraction form
    101,322.14/151,982.97 = 95,156.58/x
  3. Step 3: Cross multiply
    101,322.14x = 151,982.97 × 95,156.58
  4. Step 4: Simplify right side
    101,322.14x = 14,462,179,856.54
  5. Step 5: Solve for x
    x = 14,462,179,856.54/101,322.14
  6. Step 6: Final answer
    x = 142,734.65

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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.