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Finding the Fourth Proportional to 164,912.82, 227,580.13 and 89,461.32

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Solution

The fourth proportional to 164,912.82, 227,580.13 and 89,461.32 is: 123,456.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,912.82 : 227,580.13 = 89,461.32 : x
  2. Step 2: Convert to fraction form
    164,912.82/227,580.13 = 89,461.32/x
  3. Step 3: Cross multiply
    164,912.82x = 227,580.13 × 89,461.32
  4. Step 4: Simplify right side
    164,912.82x = 20,359,618,835.57
  5. Step 5: Solve for x
    x = 20,359,618,835.57/164,912.82
  6. Step 6: Final answer
    x = 123,456.86

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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.