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Finding the Fourth Proportional to 362,154.68, 499,764.12 and 201,005

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Solution

The fourth proportional to 362,154.68, 499,764.12 and 201,005 is: 277,381.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,154.68 : 499,764.12 = 201,005 : x
  2. Step 2: Convert to fraction form
    362,154.68/499,764.12 = 201,005/x
  3. Step 3: Cross multiply
    362,154.68x = 499,764.12 × 201,005
  4. Step 4: Simplify right side
    362,154.68x = 100,455,086,940.60
  5. Step 5: Solve for x
    x = 100,455,086,940.60/362,154.68
  6. Step 6: Final answer
    x = 277,381.72

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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.