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Finding the Fourth Proportional to 164,709, 227,299.50 and 89,258.04

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Solution

The fourth proportional to 164,709, 227,299.50 and 89,258.04 is: 123,176.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,709 : 227,299.50 = 89,258.04 : x
  2. Step 2: Convert to fraction form
    164,709/227,299.50 = 89,258.04/x
  3. Step 3: Cross multiply
    164,709x = 227,299.50 × 89,258.04
  4. Step 4: Simplify right side
    164,709x = 20,288,307,862.98
  5. Step 5: Solve for x
    x = 20,288,307,862.98/164,709
  6. Step 6: Final answer
    x = 123,176.68

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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.