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Finding the Fourth Proportional to 175,094.56, 262,642.80 and 50,438.56

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Solution

The fourth proportional to 175,094.56, 262,642.80 and 50,438.56 is: 75,658.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,094.56 : 262,642.80 = 50,438.56 : x
  2. Step 2: Convert to fraction form
    175,094.56/262,642.80 = 50,438.56/x
  3. Step 3: Cross multiply
    175,094.56x = 262,642.80 × 50,438.56
  4. Step 4: Simplify right side
    175,094.56x = 13,247,324,626.37
  5. Step 5: Solve for x
    x = 13,247,324,626.37/175,094.56
  6. Step 6: Final answer
    x = 75,658.12

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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.