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Finding the Fourth Proportional to 125,166.94, 187,769.24 and 36,408.76

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Solution

The fourth proportional to 125,166.94, 187,769.24 and 36,408.76 is: 54,618.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,166.94 : 187,769.24 = 36,408.76 : x
  2. Step 2: Convert to fraction form
    125,166.94/187,769.24 = 36,408.76/x
  3. Step 3: Cross multiply
    125,166.94x = 187,769.24 × 36,408.76
  4. Step 4: Simplify right side
    125,166.94x = 6,836,445,588.54
  5. Step 5: Solve for x
    x = 6,836,445,588.54/125,166.94
  6. Step 6: Final answer
    x = 54,618.62

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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.