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Finding the Fourth Proportional to 99,998.24, 149,946.80 and 33,415.20

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Solution

The fourth proportional to 99,998.24, 149,946.80 and 33,415.20 is: 50,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,998.24 : 149,946.80 = 33,415.20 : x
  2. Step 2: Convert to fraction form
    99,998.24/149,946.80 = 33,415.20/x
  3. Step 3: Cross multiply
    99,998.24x = 149,946.80 × 33,415.20
  4. Step 4: Simplify right side
    99,998.24x = 5,010,502,311.36
  5. Step 5: Solve for x
    x = 5,010,502,311.36/99,998.24
  6. Step 6: Final answer
    x = 50,105.90

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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.