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Finding the Fourth Proportional to 76,233.67, 105,200.89 and 42,241.86

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Solution

The fourth proportional to 76,233.67, 105,200.89 and 42,241.86 is: 58,292.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,233.67 : 105,200.89 = 42,241.86 : x
  2. Step 2: Convert to fraction form
    76,233.67/105,200.89 = 42,241.86/x
  3. Step 3: Cross multiply
    76,233.67x = 105,200.89 × 42,241.86
  4. Step 4: Simplify right side
    76,233.67x = 4,443,880,741.25
  5. Step 5: Solve for x
    x = 4,443,880,741.25/76,233.67
  6. Step 6: Final answer
    x = 58,292.89

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