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Finding the Fourth Proportional to 164,809.92, 227,436.48 and 89,357.88

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Solution

The fourth proportional to 164,809.92, 227,436.48 and 89,357.88 is: 123,313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,809.92 : 227,436.48 = 89,357.88 : x
  2. Step 2: Convert to fraction form
    164,809.92/227,436.48 = 89,357.88/x
  3. Step 3: Cross multiply
    164,809.92x = 227,436.48 × 89,357.88
  4. Step 4: Simplify right side
    164,809.92x = 20,323,241,687.46
  5. Step 5: Solve for x
    x = 20,323,241,687.46/164,809.92
  6. Step 6: Final answer
    x = 123,313.22

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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.