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Finding the Fourth Proportional to 331,252.65, 456,975.81 and 195,193.71

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Solution

The fourth proportional to 331,252.65, 456,975.81 and 195,193.71 is: 269,277.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,252.65 : 456,975.81 = 195,193.71 : x
  2. Step 2: Convert to fraction form
    331,252.65/456,975.81 = 195,193.71/x
  3. Step 3: Cross multiply
    331,252.65x = 456,975.81 × 195,193.71
  4. Step 4: Simplify right side
    331,252.65x = 89,198,803,734.16
  5. Step 5: Solve for x
    x = 89,198,803,734.16/331,252.65
  6. Step 6: Final answer
    x = 269,277.25

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Why These Related Problems?

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