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Finding the Fourth Proportional to 200,803.24, 300,613.06 and 175,891.96

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Solution

The fourth proportional to 200,803.24, 300,613.06 and 175,891.96 is: 263,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,803.24 : 300,613.06 = 175,891.96 : x
  2. Step 2: Convert to fraction form
    200,803.24/300,613.06 = 175,891.96/x
  3. Step 3: Cross multiply
    200,803.24x = 300,613.06 × 175,891.96
  4. Step 4: Simplify right side
    200,803.24x = 52,875,420,325.00
  5. Step 5: Solve for x
    x = 52,875,420,325.00/200,803.24
  6. Step 6: Final answer
    x = 263,319.56

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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.