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Finding the Fourth Proportional to 254,087.82, 381,053.70 and 175,705.74

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Solution

The fourth proportional to 254,087.82, 381,053.70 and 175,705.74 is: 263,504.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,087.82 : 381,053.70 = 175,705.74 : x
  2. Step 2: Convert to fraction form
    254,087.82/381,053.70 = 175,705.74/x
  3. Step 3: Cross multiply
    254,087.82x = 381,053.70 × 175,705.74
  4. Step 4: Simplify right side
    254,087.82x = 66,953,322,338.24
  5. Step 5: Solve for x
    x = 66,953,322,338.24/254,087.82
  6. Step 6: Final answer
    x = 263,504.65

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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.