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Finding the Fourth Proportional to 106,144.94, 159,086.19 and 53,569.46

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Solution

The fourth proportional to 106,144.94, 159,086.19 and 53,569.46 is: 80,287.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,144.94 : 159,086.19 = 53,569.46 : x
  2. Step 2: Convert to fraction form
    106,144.94/159,086.19 = 53,569.46/x
  3. Step 3: Cross multiply
    106,144.94x = 159,086.19 × 53,569.46
  4. Step 4: Simplify right side
    106,144.94x = 8,522,161,291.76
  5. Step 5: Solve for x
    x = 8,522,161,291.76/106,144.94
  6. Step 6: Final answer
    x = 80,287.97

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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.