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Finding the Fourth Proportional to 242,922.92, 364,864.62 and 147,053.96

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Solution

The fourth proportional to 242,922.92, 364,864.62 and 147,053.96 is: 220,871.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,922.92 : 364,864.62 = 147,053.96 : x
  2. Step 2: Convert to fraction form
    242,922.92/364,864.62 = 147,053.96/x
  3. Step 3: Cross multiply
    242,922.92x = 364,864.62 × 147,053.96
  4. Step 4: Simplify right side
    242,922.92x = 53,654,787,234.90
  5. Step 5: Solve for x
    x = 53,654,787,234.90/242,922.92
  6. Step 6: Final answer
    x = 220,871.65

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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.