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Finding the Fourth Proportional to 171,724.44, 257,660.82 and 92,894.16

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Solution

The fourth proportional to 171,724.44, 257,660.82 and 92,894.16 is: 139,381.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,724.44 : 257,660.82 = 92,894.16 : x
  2. Step 2: Convert to fraction form
    171,724.44/257,660.82 = 92,894.16/x
  3. Step 3: Cross multiply
    171,724.44x = 257,660.82 × 92,894.16
  4. Step 4: Simplify right side
    171,724.44x = 23,935,185,438.81
  5. Step 5: Solve for x
    x = 23,935,185,438.81/171,724.44
  6. Step 6: Final answer
    x = 139,381.36

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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.