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Finding the Fourth Proportional to 242,989.23, 364,188.34 and 171,932.34

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Solution

The fourth proportional to 242,989.23, 364,188.34 and 171,932.34 is: 257,689.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,989.23 : 364,188.34 = 171,932.34 : x
  2. Step 2: Convert to fraction form
    242,989.23/364,188.34 = 171,932.34/x
  3. Step 3: Cross multiply
    242,989.23x = 364,188.34 × 171,932.34
  4. Step 4: Simplify right side
    242,989.23x = 62,615,753,496.92
  5. Step 5: Solve for x
    x = 62,615,753,496.92/242,989.23
  6. Step 6: Final answer
    x = 257,689.42

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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.