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Finding the Fourth Proportional to 201,155.90, 301,733.82 and 51,396.48

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Solution

The fourth proportional to 201,155.90, 301,733.82 and 51,396.48 is: 77,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,155.90 : 301,733.82 = 51,396.48 : x
  2. Step 2: Convert to fraction form
    201,155.90/301,733.82 = 51,396.48/x
  3. Step 3: Cross multiply
    201,155.90x = 301,733.82 × 51,396.48
  4. Step 4: Simplify right side
    201,155.90x = 15,508,056,244.95
  5. Step 5: Solve for x
    x = 15,508,056,244.95/201,155.90
  6. Step 6: Final answer
    x = 77,094.71

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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.