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Finding the Fourth Proportional to 169,806.92, 254,643.66 and 57,456.20

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Solution

The fourth proportional to 169,806.92, 254,643.66 and 57,456.20 is: 86,161.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,806.92 : 254,643.66 = 57,456.20 : x
  2. Step 2: Convert to fraction form
    169,806.92/254,643.66 = 57,456.20/x
  3. Step 3: Cross multiply
    169,806.92x = 254,643.66 × 57,456.20
  4. Step 4: Simplify right side
    169,806.92x = 14,630,857,057.69
  5. Step 5: Solve for x
    x = 14,630,857,057.69/169,806.92
  6. Step 6: Final answer
    x = 86,161.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.