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Finding the Fourth Proportional to 200,793.76, 300,598.80 and 175,882.48

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Solution

The fourth proportional to 200,793.76, 300,598.80 and 175,882.48 is: 263,305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,793.76 : 300,598.80 = 175,882.48 : x
  2. Step 2: Convert to fraction form
    200,793.76/300,598.80 = 175,882.48/x
  3. Step 3: Cross multiply
    200,793.76x = 300,598.80 × 175,882.48
  4. Step 4: Simplify right side
    200,793.76x = 52,870,062,429.02
  5. Step 5: Solve for x
    x = 52,870,062,429.02/200,793.76
  6. Step 6: Final answer
    x = 263,305.31

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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.