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Finding the Fourth Proportional to 164,706.28, 227,294.79 and 89,254.78

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Solution

The fourth proportional to 164,706.28, 227,294.79 and 89,254.78 is: 123,171.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,706.28 : 227,294.79 = 89,254.78 : x
  2. Step 2: Convert to fraction form
    164,706.28/227,294.79 = 89,254.78/x
  3. Step 3: Cross multiply
    164,706.28x = 227,294.79 × 89,254.78
  4. Step 4: Simplify right side
    164,706.28x = 20,287,146,476.60
  5. Step 5: Solve for x
    x = 20,287,146,476.60/164,706.28
  6. Step 6: Final answer
    x = 123,171.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.