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Finding the Fourth Proportional to 100,200.95, 150,311.28 and 29,124.21

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Solution

The fourth proportional to 100,200.95, 150,311.28 and 29,124.21 is: 43,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,200.95 : 150,311.28 = 29,124.21 : x
  2. Step 2: Convert to fraction form
    100,200.95/150,311.28 = 29,124.21/x
  3. Step 3: Cross multiply
    100,200.95x = 150,311.28 × 29,124.21
  4. Step 4: Simplify right side
    100,200.95x = 4,377,697,284.09
  5. Step 5: Solve for x
    x = 4,377,697,284.09/100,200.95
  6. Step 6: Final answer
    x = 43,689.18

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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.