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Finding the Fourth Proportional to 147,692.50, 203,788.76 and 83,151.70

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Solution

The fourth proportional to 147,692.50, 203,788.76 and 83,151.70 is: 114,734.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,692.50 : 203,788.76 = 83,151.70 : x
  2. Step 2: Convert to fraction form
    147,692.50/203,788.76 = 83,151.70/x
  3. Step 3: Cross multiply
    147,692.50x = 203,788.76 × 83,151.70
  4. Step 4: Simplify right side
    147,692.50x = 16,945,381,834.89
  5. Step 5: Solve for x
    x = 16,945,381,834.89/147,692.50
  6. Step 6: Final answer
    x = 114,734.21

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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.