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Finding the Fourth Proportional to 228,796.19, 342,990.17 and 116,413.55

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Solution

The fourth proportional to 228,796.19, 342,990.17 and 116,413.55 is: 174,516.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,796.19 : 342,990.17 = 116,413.55 : x
  2. Step 2: Convert to fraction form
    228,796.19/342,990.17 = 116,413.55/x
  3. Step 3: Cross multiply
    228,796.19x = 342,990.17 × 116,413.55
  4. Step 4: Simplify right side
    228,796.19x = 39,928,702,722.74
  5. Step 5: Solve for x
    x = 39,928,702,722.74/228,796.19
  6. Step 6: Final answer
    x = 174,516.47

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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.