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Finding the Fourth Proportional to 164,928, 227,600.64 and 89,476.56

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Solution

The fourth proportional to 164,928, 227,600.64 and 89,476.56 is: 123,477.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,928 : 227,600.64 = 89,476.56 : x
  2. Step 2: Convert to fraction form
    164,928/227,600.64 = 89,476.56/x
  3. Step 3: Cross multiply
    164,928x = 227,600.64 × 89,476.56
  4. Step 4: Simplify right side
    164,928x = 20,364,922,321.00
  5. Step 5: Solve for x
    x = 20,364,922,321.00/164,928
  6. Step 6: Final answer
    x = 123,477.65

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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.