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Finding the Fourth Proportional to 75,879.70, 106,387.10 and 75,879.70

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Solution

The fourth proportional to 75,879.70, 106,387.10 and 75,879.70 is: 106,387.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,879.70 : 106,387.10 = 75,879.70 : x
  2. Step 2: Convert to fraction form
    75,879.70/106,387.10 = 75,879.70/x
  3. Step 3: Cross multiply
    75,879.70x = 106,387.10 × 75,879.70
  4. Step 4: Simplify right side
    75,879.70x = 8,072,621,231.87
  5. Step 5: Solve for x
    x = 8,072,621,231.87/75,879.70
  6. Step 6: Final answer
    x = 106,387.10

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.