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Finding the Fourth Proportional to 164,492.46, 226,999.94 and 89,040.96

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Solution

The fourth proportional to 164,492.46, 226,999.94 and 89,040.96 is: 122,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,492.46 : 226,999.94 = 89,040.96 : x
  2. Step 2: Convert to fraction form
    164,492.46/226,999.94 = 89,040.96/x
  3. Step 3: Cross multiply
    164,492.46x = 226,999.94 × 89,040.96
  4. Step 4: Simplify right side
    164,492.46x = 20,212,292,132.34
  5. Step 5: Solve for x
    x = 20,212,292,132.34/164,492.46
  6. Step 6: Final answer
    x = 122,876.71

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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.