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Finding the Fourth Proportional to 100,159.82, 150,021.37 and 50,152.69

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Solution

The fourth proportional to 100,159.82, 150,021.37 and 50,152.69 is: 75,119.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,159.82 : 150,021.37 = 50,152.69 : x
  2. Step 2: Convert to fraction form
    100,159.82/150,021.37 = 50,152.69/x
  3. Step 3: Cross multiply
    100,159.82x = 150,021.37 × 50,152.69
  4. Step 4: Simplify right side
    100,159.82x = 7,523,975,653.03
  5. Step 5: Solve for x
    x = 7,523,975,653.03/100,159.82
  6. Step 6: Final answer
    x = 75,119.70

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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.