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Finding the Fourth Proportional to 101,150.34, 151,793.14 and 41,986

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Solution

The fourth proportional to 101,150.34, 151,793.14 and 41,986 is: 63,007.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,150.34 : 151,793.14 = 41,986 : x
  2. Step 2: Convert to fraction form
    101,150.34/151,793.14 = 41,986/x
  3. Step 3: Cross multiply
    101,150.34x = 151,793.14 × 41,986
  4. Step 4: Simplify right side
    101,150.34x = 6,373,186,776.04
  5. Step 5: Solve for x
    x = 6,373,186,776.04/101,150.34
  6. Step 6: Final answer
    x = 63,007.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.