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Finding the Fourth Proportional to 200,508.31, 301,232.76 and 189,159.63

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Solution

The fourth proportional to 200,508.31, 301,232.76 and 189,159.63 is: 284,183.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,508.31 : 301,232.76 = 189,159.63 : x
  2. Step 2: Convert to fraction form
    200,508.31/301,232.76 = 189,159.63/x
  3. Step 3: Cross multiply
    200,508.31x = 301,232.76 × 189,159.63
  4. Step 4: Simplify right side
    200,508.31x = 56,981,077,425.48
  5. Step 5: Solve for x
    x = 56,981,077,425.48/200,508.31
  6. Step 6: Final answer
    x = 284,183.12

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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.