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Finding the Fourth Proportional to 142,413.38, 196,522.26 and 78,747.02

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Solution

The fourth proportional to 142,413.38, 196,522.26 and 78,747.02 is: 108,666.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,413.38 : 196,522.26 = 78,747.02 : x
  2. Step 2: Convert to fraction form
    142,413.38/196,522.26 = 78,747.02/x
  3. Step 3: Cross multiply
    142,413.38x = 196,522.26 × 78,747.02
  4. Step 4: Simplify right side
    142,413.38x = 15,475,542,338.67
  5. Step 5: Solve for x
    x = 15,475,542,338.67/142,413.38
  6. Step 6: Final answer
    x = 108,666.35

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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.