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Finding the Fourth Proportional to 254,095.82, 381,065.70 and 175,713.74

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Solution

The fourth proportional to 254,095.82, 381,065.70 and 175,713.74 is: 263,516.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,095.82 : 381,065.70 = 175,713.74 : x
  2. Step 2: Convert to fraction form
    254,095.82/381,065.70 = 175,713.74/x
  3. Step 3: Cross multiply
    254,095.82x = 381,065.70 × 175,713.74
  4. Step 4: Simplify right side
    254,095.82x = 66,958,479,332.72
  5. Step 5: Solve for x
    x = 66,958,479,332.72/254,095.82
  6. Step 6: Final answer
    x = 263,516.65

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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.