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Finding the Fourth Proportional to 164,118, 226,370.37 and 100,487.22

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Solution

The fourth proportional to 164,118, 226,370.37 and 100,487.22 is: 138,603.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,118 : 226,370.37 = 100,487.22 : x
  2. Step 2: Convert to fraction form
    164,118/226,370.37 = 100,487.22/x
  3. Step 3: Cross multiply
    164,118x = 226,370.37 × 100,487.22
  4. Step 4: Simplify right side
    164,118x = 22,747,329,171.67
  5. Step 5: Solve for x
    x = 22,747,329,171.67/164,118
  6. Step 6: Final answer
    x = 138,603.50

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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.