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Finding the Fourth Proportional to 164,653.63, 227,221.94 and 89,202.13

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Solution

The fourth proportional to 164,653.63, 227,221.94 and 89,202.13 is: 123,098.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,653.63 : 227,221.94 = 89,202.13 : x
  2. Step 2: Convert to fraction form
    164,653.63/227,221.94 = 89,202.13/x
  3. Step 3: Cross multiply
    164,653.63x = 227,221.94 × 89,202.13
  4. Step 4: Simplify right side
    164,653.63x = 20,268,680,685.68
  5. Step 5: Solve for x
    x = 20,268,680,685.68/164,653.63
  6. Step 6: Final answer
    x = 123,098.90

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1.5x scale

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.