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Finding the Fourth Proportional to 114,251.32, 171,284.01 and 76,696.87

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Solution

The fourth proportional to 114,251.32, 171,284.01 and 76,696.87 is: 114,982.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,251.32 : 171,284.01 = 76,696.87 : x
  2. Step 2: Convert to fraction form
    114,251.32/171,284.01 = 76,696.87/x
  3. Step 3: Cross multiply
    114,251.32x = 171,284.01 × 76,696.87
  4. Step 4: Simplify right side
    114,251.32x = 13,136,947,448.05
  5. Step 5: Solve for x
    x = 13,136,947,448.05/114,251.32
  6. Step 6: Final answer
    x = 114,982.89

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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.