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Finding the Fourth Proportional to 125,855.68, 188,809.44 and 105,223.36

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Solution

The fourth proportional to 125,855.68, 188,809.44 and 105,223.36 is: 157,856.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,855.68 : 188,809.44 = 105,223.36 : x
  2. Step 2: Convert to fraction form
    125,855.68/188,809.44 = 105,223.36/x
  3. Step 3: Cross multiply
    125,855.68x = 188,809.44 × 105,223.36
  4. Step 4: Simplify right side
    125,855.68x = 19,867,163,676.52
  5. Step 5: Solve for x
    x = 19,867,163,676.52/125,855.68
  6. Step 6: Final answer
    x = 157,856.71

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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.