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Finding the Fourth Proportional to 135,106.76, 186,470.52 and 78,551

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Solution

The fourth proportional to 135,106.76, 186,470.52 and 78,551 is: 108,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,106.76 : 186,470.52 = 78,551 : x
  2. Step 2: Convert to fraction form
    135,106.76/186,470.52 = 78,551/x
  3. Step 3: Cross multiply
    135,106.76x = 186,470.52 × 78,551
  4. Step 4: Simplify right side
    135,106.76x = 14,647,445,816.52
  5. Step 5: Solve for x
    x = 14,647,445,816.52/135,106.76
  6. Step 6: Final answer
    x = 108,413.86

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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.