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Finding the Fourth Proportional to 164,365.56, 226,824 and 88,914

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Solution

The fourth proportional to 164,365.56, 226,824 and 88,914 is: 122,701.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,365.56 : 226,824 = 88,914 : x
  2. Step 2: Convert to fraction form
    164,365.56/226,824 = 88,914/x
  3. Step 3: Cross multiply
    164,365.56x = 226,824 × 88,914
  4. Step 4: Simplify right side
    164,365.56x = 20,167,829,136
  5. Step 5: Solve for x
    x = 20,167,829,136/164,365.56
  6. Step 6: Final answer
    x = 122,701.06

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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.