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Finding the Fourth Proportional to 138,504.42, 207,606.24 and 70,943.76

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Solution

The fourth proportional to 138,504.42, 207,606.24 and 70,943.76 is: 106,338.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,504.42 : 207,606.24 = 70,943.76 : x
  2. Step 2: Convert to fraction form
    138,504.42/207,606.24 = 70,943.76/x
  3. Step 3: Cross multiply
    138,504.42x = 207,606.24 × 70,943.76
  4. Step 4: Simplify right side
    138,504.42x = 14,728,367,265.06
  5. Step 5: Solve for x
    x = 14,728,367,265.06/138,504.42
  6. Step 6: Final answer
    x = 106,338.61

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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.