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Finding the Fourth Proportional to 200,741.93, 301,149.80 and 163,631.27

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Solution

The fourth proportional to 200,741.93, 301,149.80 and 163,631.27 is: 245,476.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,741.93 : 301,149.80 = 163,631.27 : x
  2. Step 2: Convert to fraction form
    200,741.93/301,149.80 = 163,631.27/x
  3. Step 3: Cross multiply
    200,741.93x = 301,149.80 × 163,631.27
  4. Step 4: Simplify right side
    200,741.93x = 49,277,524,782.58
  5. Step 5: Solve for x
    x = 49,277,524,782.58/200,741.93
  6. Step 6: Final answer
    x = 245,476.99

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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.