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Finding the Fourth Proportional to 254,406.42, 380,883.87 and 201,892.50

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Solution

The fourth proportional to 254,406.42, 380,883.87 and 201,892.50 is: 302,262.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,406.42 : 380,883.87 = 201,892.50 : x
  2. Step 2: Convert to fraction form
    254,406.42/380,883.87 = 201,892.50/x
  3. Step 3: Cross multiply
    254,406.42x = 380,883.87 × 201,892.50
  4. Step 4: Simplify right side
    254,406.42x = 76,897,596,723.98
  5. Step 5: Solve for x
    x = 76,897,596,723.98/254,406.42
  6. Step 6: Final answer
    x = 302,262.80

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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.