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Finding the Fourth Proportional to 164,906.52, 227,572.20 and 89,455

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Solution

The fourth proportional to 164,906.52, 227,572.20 and 89,455 is: 123,448.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,906.52 : 227,572.20 = 89,455 : x
  2. Step 2: Convert to fraction form
    164,906.52/227,572.20 = 89,455/x
  3. Step 3: Cross multiply
    164,906.52x = 227,572.20 × 89,455
  4. Step 4: Simplify right side
    164,906.52x = 20,357,471,151
  5. Step 5: Solve for x
    x = 20,357,471,151/164,906.52
  6. Step 6: Final answer
    x = 123,448.55

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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.