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Finding the Fourth Proportional to 201,219.37, 301,827.97 and 51,459.42

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Solution

The fourth proportional to 201,219.37, 301,827.97 and 51,459.42 is: 77,188.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,219.37 : 301,827.97 = 51,459.42 : x
  2. Step 2: Convert to fraction form
    201,219.37/301,827.97 = 51,459.42/x
  3. Step 3: Cross multiply
    201,219.37x = 301,827.97 × 51,459.42
  4. Step 4: Simplify right side
    201,219.37x = 15,531,892,275.98
  5. Step 5: Solve for x
    x = 15,531,892,275.98/201,219.37
  6. Step 6: Final answer
    x = 77,188.85

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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.