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Finding the Fourth Proportional to 254,546.26, 381,824.25 and 77,052.58

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Solution

The fourth proportional to 254,546.26, 381,824.25 and 77,052.58 is: 115,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,546.26 : 381,824.25 = 77,052.58 : x
  2. Step 2: Convert to fraction form
    254,546.26/381,824.25 = 77,052.58/x
  3. Step 3: Cross multiply
    254,546.26x = 381,824.25 × 77,052.58
  4. Step 4: Simplify right side
    254,546.26x = 29,420,543,569.07
  5. Step 5: Solve for x
    x = 29,420,543,569.07/254,546.26
  6. Step 6: Final answer
    x = 115,580.34

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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.