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Finding the Fourth Proportional to 164,598, 227,145.24 and 89,147.04

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Solution

The fourth proportional to 164,598, 227,145.24 and 89,147.04 is: 123,022.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,598 : 227,145.24 = 89,147.04 : x
  2. Step 2: Convert to fraction form
    164,598/227,145.24 = 89,147.04/x
  3. Step 3: Cross multiply
    164,598x = 227,145.24 × 89,147.04
  4. Step 4: Simplify right side
    164,598x = 20,249,325,796.09
  5. Step 5: Solve for x
    x = 20,249,325,796.09/164,598
  6. Step 6: Final answer
    x = 123,022.92

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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.