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Finding the Fourth Proportional to 85,076.93, 117,456.71 and 75,618.46

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Solution

The fourth proportional to 85,076.93, 117,456.71 and 75,618.46 is: 104,398.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,076.93 : 117,456.71 = 75,618.46 : x
  2. Step 2: Convert to fraction form
    85,076.93/117,456.71 = 75,618.46/x
  3. Step 3: Cross multiply
    85,076.93x = 117,456.71 × 75,618.46
  4. Step 4: Simplify right side
    85,076.93x = 8,881,895,508.27
  5. Step 5: Solve for x
    x = 8,881,895,508.27/85,076.93
  6. Step 6: Final answer
    x = 104,398.40

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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.