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Finding the Fourth Proportional to 92,226.70, 138,230.70 and 82,822.60

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Solution

The fourth proportional to 92,226.70, 138,230.70 and 82,822.60 is: 124,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,226.70 : 138,230.70 = 82,822.60 : x
  2. Step 2: Convert to fraction form
    92,226.70/138,230.70 = 82,822.60/x
  3. Step 3: Cross multiply
    92,226.70x = 138,230.70 × 82,822.60
  4. Step 4: Simplify right side
    92,226.70x = 11,448,625,973.82
  5. Step 5: Solve for x
    x = 11,448,625,973.82/92,226.70
  6. Step 6: Final answer
    x = 124,135.70

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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.