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Finding the Fourth Proportional to 254,546.76, 381,825 and 77,053.08

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Solution

The fourth proportional to 254,546.76, 381,825 and 77,053.08 is: 115,581.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,546.76 : 381,825 = 77,053.08 : x
  2. Step 2: Convert to fraction form
    254,546.76/381,825 = 77,053.08/x
  3. Step 3: Cross multiply
    254,546.76x = 381,825 × 77,053.08
  4. Step 4: Simplify right side
    254,546.76x = 29,420,792,271
  5. Step 5: Solve for x
    x = 29,420,792,271/254,546.76
  6. Step 6: Final answer
    x = 115,581.09

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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.