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Finding the Fourth Proportional to 362,142.36, 499,748.94 and 200,987.96

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Solution

The fourth proportional to 362,142.36, 499,748.94 and 200,987.96 is: 277,359.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,142.36 : 499,748.94 = 200,987.96 : x
  2. Step 2: Convert to fraction form
    362,142.36/499,748.94 = 200,987.96/x
  3. Step 3: Cross multiply
    362,142.36x = 499,748.94 × 200,987.96
  4. Step 4: Simplify right side
    362,142.36x = 100,443,519,962.76
  5. Step 5: Solve for x
    x = 100,443,519,962.76/362,142.36
  6. Step 6: Final answer
    x = 277,359.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.