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Finding the Fourth Proportional to 138,106.46, 207,162.48 and 43,334.66

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Solution

The fourth proportional to 138,106.46, 207,162.48 and 43,334.66 is: 65,002.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,106.46 : 207,162.48 = 43,334.66 : x
  2. Step 2: Convert to fraction form
    138,106.46/207,162.48 = 43,334.66/x
  3. Step 3: Cross multiply
    138,106.46x = 207,162.48 × 43,334.66
  4. Step 4: Simplify right side
    138,106.46x = 8,977,315,635.56
  5. Step 5: Solve for x
    x = 8,977,315,635.56/138,106.46
  6. Step 6: Final answer
    x = 65,002.87

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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.