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Finding the Fourth Proportional to 101,421.14, 139,958.54 and 56,098

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Solution

The fourth proportional to 101,421.14, 139,958.54 and 56,098 is: 77,413.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,421.14 : 139,958.54 = 56,098 : x
  2. Step 2: Convert to fraction form
    101,421.14/139,958.54 = 56,098/x
  3. Step 3: Cross multiply
    101,421.14x = 139,958.54 × 56,098
  4. Step 4: Simplify right side
    101,421.14x = 7,851,394,176.92
  5. Step 5: Solve for x
    x = 7,851,394,176.92/101,421.14
  6. Step 6: Final answer
    x = 77,413.78

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Why These Related Problems?

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