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Finding the Fourth Proportional to 100,219.02, 150,342.33 and 33,678.18

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Solution

The fourth proportional to 100,219.02, 150,342.33 and 33,678.18 is: 50,521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,219.02 : 150,342.33 = 33,678.18 : x
  2. Step 2: Convert to fraction form
    100,219.02/150,342.33 = 33,678.18/x
  3. Step 3: Cross multiply
    100,219.02x = 150,342.33 × 33,678.18
  4. Step 4: Simplify right side
    100,219.02x = 5,063,256,051.36
  5. Step 5: Solve for x
    x = 5,063,256,051.36/100,219.02
  6. Step 6: Final answer
    x = 50,521.91

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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.