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Finding the Fourth Proportional to 192,644.77, 289,025.34 and 57,713.23

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Solution

The fourth proportional to 192,644.77, 289,025.34 and 57,713.23 is: 86,587.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,644.77 : 289,025.34 = 57,713.23 : x
  2. Step 2: Convert to fraction form
    192,644.77/289,025.34 = 57,713.23/x
  3. Step 3: Cross multiply
    192,644.77x = 289,025.34 × 57,713.23
  4. Step 4: Simplify right side
    192,644.77x = 16,680,585,923.25
  5. Step 5: Solve for x
    x = 16,680,585,923.25/192,644.77
  6. Step 6: Final answer
    x = 86,587.28

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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.