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Finding the Fourth Proportional to 351,431.19, 527,142.05 and 85,194

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Solution

The fourth proportional to 351,431.19, 527,142.05 and 85,194 is: 127,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,431.19 : 527,142.05 = 85,194 : x
  2. Step 2: Convert to fraction form
    351,431.19/527,142.05 = 85,194/x
  3. Step 3: Cross multiply
    351,431.19x = 527,142.05 × 85,194
  4. Step 4: Simplify right side
    351,431.19x = 44,909,339,807.70
  5. Step 5: Solve for x
    x = 44,909,339,807.70/351,431.19
  6. Step 6: Final answer
    x = 127,789.85

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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.