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Finding the Fourth Proportional to 200,073.11, 299,776.49 and 140,784.22

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Solution

The fourth proportional to 200,073.11, 299,776.49 and 140,784.22 is: 210,941.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,073.11 : 299,776.49 = 140,784.22 : x
  2. Step 2: Convert to fraction form
    200,073.11/299,776.49 = 140,784.22/x
  3. Step 3: Cross multiply
    200,073.11x = 299,776.49 × 140,784.22
  4. Step 4: Simplify right side
    200,073.11x = 42,203,797,116.18
  5. Step 5: Solve for x
    x = 42,203,797,116.18/200,073.11
  6. Step 6: Final answer
    x = 210,941.88

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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.