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Finding the Fourth Proportional to 120,223.44, 165,920.81 and 69,237.99

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Solution

The fourth proportional to 120,223.44, 165,920.81 and 69,237.99 is: 95,555.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,223.44 : 165,920.81 = 69,237.99 : x
  2. Step 2: Convert to fraction form
    120,223.44/165,920.81 = 69,237.99/x
  3. Step 3: Cross multiply
    120,223.44x = 165,920.81 × 69,237.99
  4. Step 4: Simplify right side
    120,223.44x = 11,488,023,037.38
  5. Step 5: Solve for x
    x = 11,488,023,037.38/120,223.44
  6. Step 6: Final answer
    x = 95,555.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.