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Finding the Fourth Proportional to 164,221.56, 226,625.94 and 88,770

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Solution

The fourth proportional to 164,221.56, 226,625.94 and 88,770 is: 122,502.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,221.56 : 226,625.94 = 88,770 : x
  2. Step 2: Convert to fraction form
    164,221.56/226,625.94 = 88,770/x
  3. Step 3: Cross multiply
    164,221.56x = 226,625.94 × 88,770
  4. Step 4: Simplify right side
    164,221.56x = 20,117,584,693.80
  5. Step 5: Solve for x
    x = 20,117,584,693.80/164,221.56
  6. Step 6: Final answer
    x = 122,502.70

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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.