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Finding the Fourth Proportional to 512,610.90, 768,916.35 and 138,633.90

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Solution

The fourth proportional to 512,610.90, 768,916.35 and 138,633.90 is: 207,950.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,610.90 : 768,916.35 = 138,633.90 : x
  2. Step 2: Convert to fraction form
    512,610.90/768,916.35 = 138,633.90/x
  3. Step 3: Cross multiply
    512,610.90x = 768,916.35 × 138,633.90
  4. Step 4: Simplify right side
    512,610.90x = 106,597,872,374.27
  5. Step 5: Solve for x
    x = 106,597,872,374.27/512,610.90
  6. Step 6: Final answer
    x = 207,950.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.