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Finding the Fourth Proportional to 200,792.49, 301,127.31 and 67,637.04

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Solution

The fourth proportional to 200,792.49, 301,127.31 and 67,637.04 is: 101,434.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,792.49 : 301,127.31 = 67,637.04 : x
  2. Step 2: Convert to fraction form
    200,792.49/301,127.31 = 67,637.04/x
  3. Step 3: Cross multiply
    200,792.49x = 301,127.31 × 67,637.04
  4. Step 4: Simplify right side
    200,792.49x = 20,367,359,911.56
  5. Step 5: Solve for x
    x = 20,367,359,911.56/200,792.49
  6. Step 6: Final answer
    x = 101,434.87

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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.