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Finding the Fourth Proportional to 106,502.58, 159,669.70 and 53,167.19

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Solution

The fourth proportional to 106,502.58, 159,669.70 and 53,167.19 is: 79,708.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,502.58 : 159,669.70 = 53,167.19 : x
  2. Step 2: Convert to fraction form
    106,502.58/159,669.70 = 53,167.19/x
  3. Step 3: Cross multiply
    106,502.58x = 159,669.70 × 53,167.19
  4. Step 4: Simplify right side
    106,502.58x = 8,489,188,345.88
  5. Step 5: Solve for x
    x = 8,489,188,345.88/106,502.58
  6. Step 6: Final answer
    x = 79,708.76

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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.