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Finding the Fourth Proportional to 100,265.16, 150,392.18 and 33,698.40

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Solution

The fourth proportional to 100,265.16, 150,392.18 and 33,698.40 is: 50,545.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,265.16 : 150,392.18 = 33,698.40 : x
  2. Step 2: Convert to fraction form
    100,265.16/150,392.18 = 33,698.40/x
  3. Step 3: Cross multiply
    100,265.16x = 150,392.18 × 33,698.40
  4. Step 4: Simplify right side
    100,265.16x = 5,067,975,838.51
  5. Step 5: Solve for x
    x = 5,067,975,838.51/100,265.16
  6. Step 6: Final answer
    x = 50,545.73

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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.