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Finding the Fourth Proportional to 128,297.25, 192,398.00 and 44,033.50

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Solution

The fourth proportional to 128,297.25, 192,398.00 and 44,033.50 is: 66,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,297.25 : 192,398.00 = 44,033.50 : x
  2. Step 2: Convert to fraction form
    128,297.25/192,398.00 = 44,033.50/x
  3. Step 3: Cross multiply
    128,297.25x = 192,398.00 × 44,033.50
  4. Step 4: Simplify right side
    128,297.25x = 8,471,956,962.09
  5. Step 5: Solve for x
    x = 8,471,956,962.09/128,297.25
  6. Step 6: Final answer
    x = 66,033.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.