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Finding the Fourth Proportional to 258,096.80, 387,145.20 and 204,952.70

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Solution

The fourth proportional to 258,096.80, 387,145.20 and 204,952.70 is: 307,429.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,096.80 : 387,145.20 = 204,952.70 : x
  2. Step 2: Convert to fraction form
    258,096.80/387,145.20 = 204,952.70/x
  3. Step 3: Cross multiply
    258,096.80x = 387,145.20 × 204,952.70
  4. Step 4: Simplify right side
    258,096.80x = 79,346,454,032.04
  5. Step 5: Solve for x
    x = 79,346,454,032.04/258,096.80
  6. Step 6: Final answer
    x = 307,429.05

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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.