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Finding the Fourth Proportional to 105,633.86, 145,773.48 and 57,234.84

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Solution

The fourth proportional to 105,633.86, 145,773.48 and 57,234.84 is: 78,983.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,633.86 : 145,773.48 = 57,234.84 : x
  2. Step 2: Convert to fraction form
    105,633.86/145,773.48 = 57,234.84/x
  3. Step 3: Cross multiply
    105,633.86x = 145,773.48 × 57,234.84
  4. Step 4: Simplify right side
    105,633.86x = 8,343,322,018.67
  5. Step 5: Solve for x
    x = 8,343,322,018.67/105,633.86
  6. Step 6: Final answer
    x = 78,983.41

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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.