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Finding the Fourth Proportional to 251,968, 378,010.32 and 85,756

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Solution

The fourth proportional to 251,968, 378,010.32 and 85,756 is: 128,653.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,968 : 378,010.32 = 85,756 : x
  2. Step 2: Convert to fraction form
    251,968/378,010.32 = 85,756/x
  3. Step 3: Cross multiply
    251,968x = 378,010.32 × 85,756
  4. Step 4: Simplify right side
    251,968x = 32,416,653,001.92
  5. Step 5: Solve for x
    x = 32,416,653,001.92/251,968
  6. Step 6: Final answer
    x = 128,653.85

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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.