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Finding the Fourth Proportional to 105,213.68, 145,235.16 and 64,934

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Solution

The fourth proportional to 105,213.68, 145,235.16 and 64,934 is: 89,633.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,213.68 : 145,235.16 = 64,934 : x
  2. Step 2: Convert to fraction form
    105,213.68/145,235.16 = 64,934/x
  3. Step 3: Cross multiply
    105,213.68x = 145,235.16 × 64,934
  4. Step 4: Simplify right side
    105,213.68x = 9,430,699,879.44
  5. Step 5: Solve for x
    x = 9,430,699,879.44/105,213.68
  6. Step 6: Final answer
    x = 89,633.78

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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.