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Finding the Fourth Proportional to 164,373.50, 226,835.70 and 88,922

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Solution

The fourth proportional to 164,373.50, 226,835.70 and 88,922 is: 122,712.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,373.50 : 226,835.70 = 88,922 : x
  2. Step 2: Convert to fraction form
    164,373.50/226,835.70 = 88,922/x
  3. Step 3: Cross multiply
    164,373.50x = 226,835.70 × 88,922
  4. Step 4: Simplify right side
    164,373.50x = 20,170,684,115.40
  5. Step 5: Solve for x
    x = 20,170,684,115.40/164,373.50
  6. Step 6: Final answer
    x = 122,712.51

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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.