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Finding the Fourth Proportional to 100,196.80, 150,312.51 and 33,643.35

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Solution

The fourth proportional to 100,196.80, 150,312.51 and 33,643.35 is: 50,470.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,196.80 : 150,312.51 = 33,643.35 : x
  2. Step 2: Convert to fraction form
    100,196.80/150,312.51 = 33,643.35/x
  3. Step 3: Cross multiply
    100,196.80x = 150,312.51 × 33,643.35
  4. Step 4: Simplify right side
    100,196.80x = 5,057,016,383.31
  5. Step 5: Solve for x
    x = 5,057,016,383.31/100,196.80
  6. Step 6: Final answer
    x = 50,470.84

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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.