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Finding the Fourth Proportional to 164,950.30, 227,634.06 and 89,498.80

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Solution

The fourth proportional to 164,950.30, 227,634.06 and 89,498.80 is: 123,509.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,950.30 : 227,634.06 = 89,498.80 : x
  2. Step 2: Convert to fraction form
    164,950.30/227,634.06 = 89,498.80/x
  3. Step 3: Cross multiply
    164,950.30x = 227,634.06 × 89,498.80
  4. Step 4: Simplify right side
    164,950.30x = 20,372,975,209.13
  5. Step 5: Solve for x
    x = 20,372,975,209.13/164,950.30
  6. Step 6: Final answer
    x = 123,509.78

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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.