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Finding the Fourth Proportional to 119,692.89, 179,009.91 and 106,458.75

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Solution

The fourth proportional to 119,692.89, 179,009.91 and 106,458.75 is: 159,217.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,692.89 : 179,009.91 = 106,458.75 : x
  2. Step 2: Convert to fraction form
    119,692.89/179,009.91 = 106,458.75/x
  3. Step 3: Cross multiply
    119,692.89x = 179,009.91 × 106,458.75
  4. Step 4: Simplify right side
    119,692.89x = 19,057,171,256.21
  5. Step 5: Solve for x
    x = 19,057,171,256.21/119,692.89
  6. Step 6: Final answer
    x = 159,217.24

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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.