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Finding the Fourth Proportional to 138,720, 191,413.07 and 84,243.84

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Solution

The fourth proportional to 138,720, 191,413.07 and 84,243.84 is: 116,244.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,720 : 191,413.07 = 84,243.84 : x
  2. Step 2: Convert to fraction form
    138,720/191,413.07 = 84,243.84/x
  3. Step 3: Cross multiply
    138,720x = 191,413.07 × 84,243.84
  4. Step 4: Simplify right side
    138,720x = 16,125,371,621.77
  5. Step 5: Solve for x
    x = 16,125,371,621.77/138,720
  6. Step 6: Final answer
    x = 116,244.03

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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.