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Finding the Fourth Proportional to 164,384, 226,851.56 and 88,934.12

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Solution

The fourth proportional to 164,384, 226,851.56 and 88,934.12 is: 122,729.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,384 : 226,851.56 = 88,934.12 : x
  2. Step 2: Convert to fraction form
    164,384/226,851.56 = 88,934.12/x
  3. Step 3: Cross multiply
    164,384x = 226,851.56 × 88,934.12
  4. Step 4: Simplify right side
    164,384x = 20,174,843,859.23
  5. Step 5: Solve for x
    x = 20,174,843,859.23/164,384
  6. Step 6: Final answer
    x = 122,729.97

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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.