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Finding the Fourth Proportional to 105,963.94, 158,910.81 and 42,767.74

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Solution

The fourth proportional to 105,963.94, 158,910.81 and 42,767.74 is: 64,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,963.94 : 158,910.81 = 42,767.74 : x
  2. Step 2: Convert to fraction form
    105,963.94/158,910.81 = 42,767.74/x
  3. Step 3: Cross multiply
    105,963.94x = 158,910.81 × 42,767.74
  4. Step 4: Simplify right side
    105,963.94x = 6,796,256,205.27
  5. Step 5: Solve for x
    x = 6,796,256,205.27/105,963.94
  6. Step 6: Final answer
    x = 64,137.44

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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.