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Finding the Fourth Proportional to 164,667, 227,240.70 and 89,215.50

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Solution

The fourth proportional to 164,667, 227,240.70 and 89,215.50 is: 123,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,667 : 227,240.70 = 89,215.50 : x
  2. Step 2: Convert to fraction form
    164,667/227,240.70 = 89,215.50/x
  3. Step 3: Cross multiply
    164,667x = 227,240.70 × 89,215.50
  4. Step 4: Simplify right side
    164,667x = 20,273,392,670.85
  5. Step 5: Solve for x
    x = 20,273,392,670.85/164,667
  6. Step 6: Final answer
    x = 123,117.52

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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.