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Finding the Fourth Proportional to 234,478.80, 323,692.32 and 157,087.71

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Solution

The fourth proportional to 234,478.80, 323,692.32 and 157,087.71 is: 216,855.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,478.80 : 323,692.32 = 157,087.71 : x
  2. Step 2: Convert to fraction form
    234,478.80/323,692.32 = 157,087.71/x
  3. Step 3: Cross multiply
    234,478.80x = 323,692.32 × 157,087.71
  4. Step 4: Simplify right side
    234,478.80x = 50,848,082,889.49
  5. Step 5: Solve for x
    x = 50,848,082,889.49/234,478.80
  6. Step 6: Final answer
    x = 216,855.78

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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.