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Finding the Fourth Proportional to 201,156.41, 301,734.57 and 51,396.98

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Solution

The fourth proportional to 201,156.41, 301,734.57 and 51,396.98 is: 77,095.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,156.41 : 301,734.57 = 51,396.98 : x
  2. Step 2: Convert to fraction form
    201,156.41/301,734.57 = 51,396.98/x
  3. Step 3: Cross multiply
    201,156.41x = 301,734.57 × 51,396.98
  4. Step 4: Simplify right side
    201,156.41x = 15,508,245,659.60
  5. Step 5: Solve for x
    x = 15,508,245,659.60/201,156.41
  6. Step 6: Final answer
    x = 77,095.46

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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.