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Finding the Fourth Proportional to 106,093.58, 159,142.35 and 84,935.37

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Solution

The fourth proportional to 106,093.58, 159,142.35 and 84,935.37 is: 127,404.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,093.58 : 159,142.35 = 84,935.37 : x
  2. Step 2: Convert to fraction form
    106,093.58/159,142.35 = 84,935.37/x
  3. Step 3: Cross multiply
    106,093.58x = 159,142.35 × 84,935.37
  4. Step 4: Simplify right side
    106,093.58x = 13,516,814,379.92
  5. Step 5: Solve for x
    x = 13,516,814,379.92/106,093.58
  6. Step 6: Final answer
    x = 127,404.65

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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.