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Finding the Fourth Proportional to 165,412.88, 228,270.32 and 89,961.36

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Solution

The fourth proportional to 165,412.88, 228,270.32 and 89,961.36 is: 124,146.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,412.88 : 228,270.32 = 89,961.36 : x
  2. Step 2: Convert to fraction form
    165,412.88/228,270.32 = 89,961.36/x
  3. Step 3: Cross multiply
    165,412.88x = 228,270.32 × 89,961.36
  4. Step 4: Simplify right side
    165,412.88x = 20,535,508,434.84
  5. Step 5: Solve for x
    x = 20,535,508,434.84/165,412.88
  6. Step 6: Final answer
    x = 124,146.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.