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Finding the Fourth Proportional to 117,078, 175,586.28 and 50,503.32

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Solution

The fourth proportional to 117,078, 175,586.28 and 50,503.32 is: 75,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,078 : 175,586.28 = 50,503.32 : x
  2. Step 2: Convert to fraction form
    117,078/175,586.28 = 50,503.32/x
  3. Step 3: Cross multiply
    117,078x = 175,586.28 × 50,503.32
  4. Step 4: Simplify right side
    117,078x = 8,867,690,086.45
  5. Step 5: Solve for x
    x = 8,867,690,086.45/117,078
  6. Step 6: Final answer
    x = 75,741.73

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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.