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Finding the Fourth Proportional to 119,665, 179,506.14 and 45,793

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Solution

The fourth proportional to 119,665, 179,506.14 and 45,793 is: 68,692.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,665 : 179,506.14 = 45,793 : x
  2. Step 2: Convert to fraction form
    119,665/179,506.14 = 45,793/x
  3. Step 3: Cross multiply
    119,665x = 179,506.14 × 45,793
  4. Step 4: Simplify right side
    119,665x = 8,220,124,669.02
  5. Step 5: Solve for x
    x = 8,220,124,669.02/119,665
  6. Step 6: Final answer
    x = 68,692.81

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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.