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Finding the Fourth Proportional to 257,023.64, 385,523.81 and 67,479.54

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Solution

The fourth proportional to 257,023.64, 385,523.81 and 67,479.54 is: 101,216.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,023.64 : 385,523.81 = 67,479.54 : x
  2. Step 2: Convert to fraction form
    257,023.64/385,523.81 = 67,479.54/x
  3. Step 3: Cross multiply
    257,023.64x = 385,523.81 × 67,479.54
  4. Step 4: Simplify right side
    257,023.64x = 26,014,969,357.85
  5. Step 5: Solve for x
    x = 26,014,969,357.85/257,023.64
  6. Step 6: Final answer
    x = 101,216.25

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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.