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Finding the Fourth Proportional to 242,921.92, 364,863.12 and 147,052.96

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Solution

The fourth proportional to 242,921.92, 364,863.12 and 147,052.96 is: 220,870.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,921.92 : 364,863.12 = 147,052.96 : x
  2. Step 2: Convert to fraction form
    242,921.92/364,863.12 = 147,052.96/x
  3. Step 3: Cross multiply
    242,921.92x = 364,863.12 × 147,052.96
  4. Step 4: Simplify right side
    242,921.92x = 53,654,201,790.84
  5. Step 5: Solve for x
    x = 53,654,201,790.84/242,921.92
  6. Step 6: Final answer
    x = 220,870.15

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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.