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Finding the Fourth Proportional to 103,413.38, 142,722.74 and 58,091.45

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Solution

The fourth proportional to 103,413.38, 142,722.74 and 58,091.45 is: 80,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,413.38 : 142,722.74 = 58,091.45 : x
  2. Step 2: Convert to fraction form
    103,413.38/142,722.74 = 58,091.45/x
  3. Step 3: Cross multiply
    103,413.38x = 142,722.74 × 58,091.45
  4. Step 4: Simplify right side
    103,413.38x = 8,290,970,346.19
  5. Step 5: Solve for x
    x = 8,290,970,346.19/103,413.38
  6. Step 6: Final answer
    x = 80,173.10

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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.