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Finding the Fourth Proportional to 129,586.05, 178,767.63 and 75,837.78

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Solution

The fourth proportional to 129,586.05, 178,767.63 and 75,837.78 is: 104,620.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,586.05 : 178,767.63 = 75,837.78 : x
  2. Step 2: Convert to fraction form
    129,586.05/178,767.63 = 75,837.78/x
  3. Step 3: Cross multiply
    129,586.05x = 178,767.63 × 75,837.78
  4. Step 4: Simplify right side
    129,586.05x = 13,557,340,195.06
  5. Step 5: Solve for x
    x = 13,557,340,195.06/129,586.05
  6. Step 6: Final answer
    x = 104,620.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.