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Finding the Fourth Proportional to 164,783.58, 227,399.31 and 89,330.46

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Solution

The fourth proportional to 164,783.58, 227,399.31 and 89,330.46 is: 123,274.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,783.58 : 227,399.31 = 89,330.46 : x
  2. Step 2: Convert to fraction form
    164,783.58/227,399.31 = 89,330.46/x
  3. Step 3: Cross multiply
    164,783.58x = 227,399.31 × 89,330.46
  4. Step 4: Simplify right side
    164,783.58x = 20,313,684,965.98
  5. Step 5: Solve for x
    x = 20,313,684,965.98/164,783.58
  6. Step 6: Final answer
    x = 123,274.93

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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.