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Finding the Fourth Proportional to 193,135.92, 266,429.88 and 142,747.44

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Solution

The fourth proportional to 193,135.92, 266,429.88 and 142,747.44 is: 196,919.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,135.92 : 266,429.88 = 142,747.44 : x
  2. Step 2: Convert to fraction form
    193,135.92/266,429.88 = 142,747.44/x
  3. Step 3: Cross multiply
    193,135.92x = 266,429.88 × 142,747.44
  4. Step 4: Simplify right side
    193,135.92x = 38,032,183,309.51
  5. Step 5: Solve for x
    x = 38,032,183,309.51/193,135.92
  6. Step 6: Final answer
    x = 196,919.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.