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Finding the Fourth Proportional to 138,530.78, 191,083.83 and 96,073.82

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Solution

The fourth proportional to 138,530.78, 191,083.83 and 96,073.82 is: 132,520.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,530.78 : 191,083.83 = 96,073.82 : x
  2. Step 2: Convert to fraction form
    138,530.78/191,083.83 = 96,073.82/x
  3. Step 3: Cross multiply
    138,530.78x = 191,083.83 × 96,073.82
  4. Step 4: Simplify right side
    138,530.78x = 18,358,153,488.33
  5. Step 5: Solve for x
    x = 18,358,153,488.33/138,530.78
  6. Step 6: Final answer
    x = 132,520.39

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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.