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Finding the Fourth Proportional to 164,494.81, 226,990.16 and 92,881.90

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Solution

The fourth proportional to 164,494.81, 226,990.16 and 92,881.90 is: 128,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,494.81 : 226,990.16 = 92,881.90 : x
  2. Step 2: Convert to fraction form
    164,494.81/226,990.16 = 92,881.90/x
  3. Step 3: Cross multiply
    164,494.81x = 226,990.16 × 92,881.90
  4. Step 4: Simplify right side
    164,494.81x = 21,083,276,207.15
  5. Step 5: Solve for x
    x = 21,083,276,207.15/164,494.81
  6. Step 6: Final answer
    x = 128,169.86

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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.