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Finding the Fourth Proportional to 199,574.47, 299,147.46 and 99,537.04

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Solution

The fourth proportional to 199,574.47, 299,147.46 and 99,537.04 is: 149,198.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,574.47 : 299,147.46 = 99,537.04 : x
  2. Step 2: Convert to fraction form
    199,574.47/299,147.46 = 99,537.04/x
  3. Step 3: Cross multiply
    199,574.47x = 299,147.46 × 99,537.04
  4. Step 4: Simplify right side
    199,574.47x = 29,776,252,691.92
  5. Step 5: Solve for x
    x = 29,776,252,691.92/199,574.47
  6. Step 6: Final answer
    x = 149,198.71

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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.