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Finding the Fourth Proportional to 262,014.72, 392,964.48 and 104,213.76

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Solution

The fourth proportional to 262,014.72, 392,964.48 and 104,213.76 is: 156,297.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,014.72 : 392,964.48 = 104,213.76 : x
  2. Step 2: Convert to fraction form
    262,014.72/392,964.48 = 104,213.76/x
  3. Step 3: Cross multiply
    262,014.72x = 392,964.48 × 104,213.76
  4. Step 4: Simplify right side
    262,014.72x = 40,952,306,007.24
  5. Step 5: Solve for x
    x = 40,952,306,007.24/262,014.72
  6. Step 6: Final answer
    x = 156,297.73

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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.