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Finding the Fourth Proportional to 164,678.24, 227,249.88 and 89,225.12

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Solution

The fourth proportional to 164,678.24, 227,249.88 and 89,225.12 is: 123,127.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,678.24 : 227,249.88 = 89,225.12 : x
  2. Step 2: Convert to fraction form
    164,678.24/227,249.88 = 89,225.12/x
  3. Step 3: Cross multiply
    164,678.24x = 227,249.88 × 89,225.12
  4. Step 4: Simplify right side
    164,678.24x = 20,276,397,812.99
  5. Step 5: Solve for x
    x = 20,276,397,812.99/164,678.24
  6. Step 6: Final answer
    x = 123,127.37

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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.