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Finding the Fourth Proportional to 136,614.87, 188,529.62 and 76,189.41

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Solution

The fourth proportional to 136,614.87, 188,529.62 and 76,189.41 is: 105,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,614.87 : 188,529.62 = 76,189.41 : x
  2. Step 2: Convert to fraction form
    136,614.87/188,529.62 = 76,189.41/x
  3. Step 3: Cross multiply
    136,614.87x = 188,529.62 × 76,189.41
  4. Step 4: Simplify right side
    136,614.87x = 14,363,960,134.38
  5. Step 5: Solve for x
    x = 14,363,960,134.38/136,614.87
  6. Step 6: Final answer
    x = 105,142.00

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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.