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Finding the Fourth Proportional to 164,397.50, 226,868.58 and 88,946

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Solution

The fourth proportional to 164,397.50, 226,868.58 and 88,946 is: 122,745.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,397.50 : 226,868.58 = 88,946 : x
  2. Step 2: Convert to fraction form
    164,397.50/226,868.58 = 88,946/x
  3. Step 3: Cross multiply
    164,397.50x = 226,868.58 × 88,946
  4. Step 4: Simplify right side
    164,397.50x = 20,179,052,716.68
  5. Step 5: Solve for x
    x = 20,179,052,716.68/164,397.50
  6. Step 6: Final answer
    x = 122,745.50

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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.