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Finding the Fourth Proportional to 164,658.24, 227,228.63 and 89,206.74

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Solution

The fourth proportional to 164,658.24, 227,228.63 and 89,206.74 is: 123,105.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,658.24 : 227,228.63 = 89,206.74 : x
  2. Step 2: Convert to fraction form
    164,658.24/227,228.63 = 89,206.74/x
  3. Step 3: Cross multiply
    164,658.24x = 227,228.63 × 89,206.74
  4. Step 4: Simplify right side
    164,658.24x = 20,270,324,870.93
  5. Step 5: Solve for x
    x = 20,270,324,870.93/164,658.24
  6. Step 6: Final answer
    x = 123,105.44

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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.