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Finding the Fourth Proportional to 177,692.92, 266,500.08 and 51,305.66

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Solution

The fourth proportional to 177,692.92, 266,500.08 and 51,305.66 is: 76,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,692.92 : 266,500.08 = 51,305.66 : x
  2. Step 2: Convert to fraction form
    177,692.92/266,500.08 = 51,305.66/x
  3. Step 3: Cross multiply
    177,692.92x = 266,500.08 × 51,305.66
  4. Step 4: Simplify right side
    177,692.92x = 13,672,962,494.45
  5. Step 5: Solve for x
    x = 13,672,962,494.45/177,692.92
  6. Step 6: Final answer
    x = 76,947.14

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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.