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Finding the Fourth Proportional to 105,910, 146,155.26 and 57,511.50

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Solution

The fourth proportional to 105,910, 146,155.26 and 57,511.50 is: 79,365.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,910 : 146,155.26 = 57,511.50 : x
  2. Step 2: Convert to fraction form
    105,910/146,155.26 = 57,511.50/x
  3. Step 3: Cross multiply
    105,910x = 146,155.26 × 57,511.50
  4. Step 4: Simplify right side
    105,910x = 8,405,608,235.49
  5. Step 5: Solve for x
    x = 8,405,608,235.49/105,910
  6. Step 6: Final answer
    x = 79,365.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.