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Finding the Fourth Proportional to 164,705.96, 227,294.52 and 89,254.46

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Solution

The fourth proportional to 164,705.96, 227,294.52 and 89,254.46 is: 123,171.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,705.96 : 227,294.52 = 89,254.46 : x
  2. Step 2: Convert to fraction form
    164,705.96/227,294.52 = 89,254.46/x
  3. Step 3: Cross multiply
    164,705.96x = 227,294.52 × 89,254.46
  4. Step 4: Simplify right side
    164,705.96x = 20,287,049,643.56
  5. Step 5: Solve for x
    x = 20,287,049,643.56/164,705.96
  6. Step 6: Final answer
    x = 123,171.31

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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.