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Finding the Fourth Proportional to 138,033.42, 207,093.90 and 49,284.96

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Solution

The fourth proportional to 138,033.42, 207,093.90 and 49,284.96 is: 73,943.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,033.42 : 207,093.90 = 49,284.96 : x
  2. Step 2: Convert to fraction form
    138,033.42/207,093.90 = 49,284.96/x
  3. Step 3: Cross multiply
    138,033.42x = 207,093.90 × 49,284.96
  4. Step 4: Simplify right side
    138,033.42x = 10,206,614,577.74
  5. Step 5: Solve for x
    x = 10,206,614,577.74/138,033.42
  6. Step 6: Final answer
    x = 73,943.07

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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.