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Finding the Fourth Proportional to 117,778.50, 176,706.63 and 47,619.54

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Solution

The fourth proportional to 117,778.50, 176,706.63 and 47,619.54 is: 71,445.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,778.50 : 176,706.63 = 47,619.54 : x
  2. Step 2: Convert to fraction form
    117,778.50/176,706.63 = 47,619.54/x
  3. Step 3: Cross multiply
    117,778.50x = 176,706.63 × 47,619.54
  4. Step 4: Simplify right side
    117,778.50x = 8,414,688,435.55
  5. Step 5: Solve for x
    x = 8,414,688,435.55/117,778.50
  6. Step 6: Final answer
    x = 71,445.03

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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.