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Finding the Fourth Proportional to 225,856.84, 338,822.10 and 92,701.36

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Solution

The fourth proportional to 225,856.84, 338,822.10 and 92,701.36 is: 139,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,856.84 : 338,822.10 = 92,701.36 : x
  2. Step 2: Convert to fraction form
    225,856.84/338,822.10 = 92,701.36/x
  3. Step 3: Cross multiply
    225,856.84x = 338,822.10 × 92,701.36
  4. Step 4: Simplify right side
    225,856.84x = 31,409,269,468.06
  5. Step 5: Solve for x
    x = 31,409,269,468.06/225,856.84
  6. Step 6: Final answer
    x = 139,067.16

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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.