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Finding the Fourth Proportional to 164,374.50, 226,837.08 and 88,923

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Solution

The fourth proportional to 164,374.50, 226,837.08 and 88,923 is: 122,713.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,374.50 : 226,837.08 = 88,923 : x
  2. Step 2: Convert to fraction form
    164,374.50/226,837.08 = 88,923/x
  3. Step 3: Cross multiply
    164,374.50x = 226,837.08 × 88,923
  4. Step 4: Simplify right side
    164,374.50x = 20,171,033,664.84
  5. Step 5: Solve for x
    x = 20,171,033,664.84/164,374.50
  6. Step 6: Final answer
    x = 122,713.89

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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.