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Finding the Fourth Proportional to 171,963.68, 257,712.23 and 97,046.78

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Solution

The fourth proportional to 171,963.68, 257,712.23 and 97,046.78 is: 145,438.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,963.68 : 257,712.23 = 97,046.78 : x
  2. Step 2: Convert to fraction form
    171,963.68/257,712.23 = 97,046.78/x
  3. Step 3: Cross multiply
    171,963.68x = 257,712.23 × 97,046.78
  4. Step 4: Simplify right side
    171,963.68x = 25,010,141,042.18
  5. Step 5: Solve for x
    x = 25,010,141,042.18/171,963.68
  6. Step 6: Final answer
    x = 145,438.51

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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.