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Finding the Fourth Proportional to 106,284.29, 159,051.84 and 66,322.09

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Solution

The fourth proportional to 106,284.29, 159,051.84 and 66,322.09 is: 99,249.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,284.29 : 159,051.84 = 66,322.09 : x
  2. Step 2: Convert to fraction form
    106,284.29/159,051.84 = 66,322.09/x
  3. Step 3: Cross multiply
    106,284.29x = 159,051.84 × 66,322.09
  4. Step 4: Simplify right side
    106,284.29x = 10,548,650,645.96
  5. Step 5: Solve for x
    x = 10,548,650,645.96/106,284.29
  6. Step 6: Final answer
    x = 99,249.39

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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.