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Finding the Fourth Proportional to 117,311.76, 175,940.64 and 69,940.24

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Solution

The fourth proportional to 117,311.76, 175,940.64 and 69,940.24 is: 104,894.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,311.76 : 175,940.64 = 69,940.24 : x
  2. Step 2: Convert to fraction form
    117,311.76/175,940.64 = 69,940.24/x
  3. Step 3: Cross multiply
    117,311.76x = 175,940.64 × 69,940.24
  4. Step 4: Simplify right side
    117,311.76x = 12,305,330,587.35
  5. Step 5: Solve for x
    x = 12,305,330,587.35/117,311.76
  6. Step 6: Final answer
    x = 104,894.26

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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.