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Finding the Fourth Proportional to 136,294.67, 188,086.64 and 75,864.02

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Solution

The fourth proportional to 136,294.67, 188,086.64 and 75,864.02 is: 104,692.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,294.67 : 188,086.64 = 75,864.02 : x
  2. Step 2: Convert to fraction form
    136,294.67/188,086.64 = 75,864.02/x
  3. Step 3: Cross multiply
    136,294.67x = 188,086.64 × 75,864.02
  4. Step 4: Simplify right side
    136,294.67x = 14,269,007,298.94
  5. Step 5: Solve for x
    x = 14,269,007,298.94/136,294.67
  6. Step 6: Final answer
    x = 104,692.33

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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.