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Finding the Fourth Proportional to 200,759.52, 300,613.20 and 141,273.12

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Solution

The fourth proportional to 200,759.52, 300,613.20 and 141,273.12 is: 211,539.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,759.52 : 300,613.20 = 141,273.12 : x
  2. Step 2: Convert to fraction form
    200,759.52/300,613.20 = 141,273.12/x
  3. Step 3: Cross multiply
    200,759.52x = 300,613.20 × 141,273.12
  4. Step 4: Simplify right side
    200,759.52x = 42,468,564,677.18
  5. Step 5: Solve for x
    x = 42,468,564,677.18/200,759.52
  6. Step 6: Final answer
    x = 211,539.48

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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.