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Finding the Fourth Proportional to 98,413.74, 135,846.06 and 58,127.70

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Solution

The fourth proportional to 98,413.74, 135,846.06 and 58,127.70 is: 80,236.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,413.74 : 135,846.06 = 58,127.70 : x
  2. Step 2: Convert to fraction form
    98,413.74/135,846.06 = 58,127.70/x
  3. Step 3: Cross multiply
    98,413.74x = 135,846.06 × 58,127.70
  4. Step 4: Simplify right side
    98,413.74x = 7,896,419,021.86
  5. Step 5: Solve for x
    x = 7,896,419,021.86/98,413.74
  6. Step 6: Final answer
    x = 80,236.96

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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.