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Finding the Fourth Proportional to 228,795.69, 342,989.42 and 116,413.05

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Solution

The fourth proportional to 228,795.69, 342,989.42 and 116,413.05 is: 174,515.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,795.69 : 342,989.42 = 116,413.05 : x
  2. Step 2: Convert to fraction form
    228,795.69/342,989.42 = 116,413.05/x
  3. Step 3: Cross multiply
    228,795.69x = 342,989.42 × 116,413.05
  4. Step 4: Simplify right side
    228,795.69x = 39,928,443,917.87
  5. Step 5: Solve for x
    x = 39,928,443,917.87/228,795.69
  6. Step 6: Final answer
    x = 174,515.72

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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.