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Finding the Fourth Proportional to 106,145.88, 159,169.62 and 39,568.14

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Solution

The fourth proportional to 106,145.88, 159,169.62 and 39,568.14 is: 59,333.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,145.88 : 159,169.62 = 39,568.14 : x
  2. Step 2: Convert to fraction form
    106,145.88/159,169.62 = 39,568.14/x
  3. Step 3: Cross multiply
    106,145.88x = 159,169.62 × 39,568.14
  4. Step 4: Simplify right side
    106,145.88x = 6,298,045,807.91
  5. Step 5: Solve for x
    x = 6,298,045,807.91/106,145.88
  6. Step 6: Final answer
    x = 59,333.87

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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.