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Finding the Fourth Proportional to 100,199.45, 150,309.03 and 29,122.71

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Solution

The fourth proportional to 100,199.45, 150,309.03 and 29,122.71 is: 43,686.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,199.45 : 150,309.03 = 29,122.71 : x
  2. Step 2: Convert to fraction form
    100,199.45/150,309.03 = 29,122.71/x
  3. Step 3: Cross multiply
    100,199.45x = 150,309.03 × 29,122.71
  4. Step 4: Simplify right side
    100,199.45x = 4,377,406,291.07
  5. Step 5: Solve for x
    x = 4,377,406,291.07/100,199.45
  6. Step 6: Final answer
    x = 43,686.93

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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.