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Finding the Fourth Proportional to 164,302, 226,736.76 and 88,850.50

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Solution

The fourth proportional to 164,302, 226,736.76 and 88,850.50 is: 122,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,302 : 226,736.76 = 88,850.50 : x
  2. Step 2: Convert to fraction form
    164,302/226,736.76 = 88,850.50/x
  3. Step 3: Cross multiply
    164,302x = 226,736.76 × 88,850.50
  4. Step 4: Simplify right side
    164,302x = 20,145,674,494.38
  5. Step 5: Solve for x
    x = 20,145,674,494.38/164,302
  6. Step 6: Final answer
    x = 122,613.69

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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.