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Finding the Fourth Proportional to 242,990.92, 364,444.84 and 65,456.41

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Solution

The fourth proportional to 242,990.92, 364,444.84 and 65,456.41 is: 98,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,990.92 : 364,444.84 = 65,456.41 : x
  2. Step 2: Convert to fraction form
    242,990.92/364,444.84 = 65,456.41/x
  3. Step 3: Cross multiply
    242,990.92x = 364,444.84 × 65,456.41
  4. Step 4: Simplify right side
    242,990.92x = 23,855,250,723.47
  5. Step 5: Solve for x
    x = 23,855,250,723.47/242,990.92
  6. Step 6: Final answer
    x = 98,173.42

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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.