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Finding the Fourth Proportional to 164,458.09, 226,952.16 and 89,006.59

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Solution

The fourth proportional to 164,458.09, 226,952.16 and 89,006.59 is: 122,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,458.09 : 226,952.16 = 89,006.59 : x
  2. Step 2: Convert to fraction form
    164,458.09/226,952.16 = 89,006.59/x
  3. Step 3: Cross multiply
    164,458.09x = 226,952.16 × 89,006.59
  4. Step 4: Simplify right side
    164,458.09x = 20,200,236,719.97
  5. Step 5: Solve for x
    x = 20,200,236,719.97/164,458.09
  6. Step 6: Final answer
    x = 122,829.09

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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.