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Finding the Fourth Proportional to 228,077.60, 342,189.30 and 78,413.90

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Solution

The fourth proportional to 228,077.60, 342,189.30 and 78,413.90 is: 117,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,077.60 : 342,189.30 = 78,413.90 : x
  2. Step 2: Convert to fraction form
    228,077.60/342,189.30 = 78,413.90/x
  3. Step 3: Cross multiply
    228,077.60x = 342,189.30 × 78,413.90
  4. Step 4: Simplify right side
    228,077.60x = 26,832,397,551.27
  5. Step 5: Solve for x
    x = 26,832,397,551.27/228,077.60
  6. Step 6: Final answer
    x = 117,645.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.