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Finding the Fourth Proportional to 326,803.41, 490,052.03 and 137,223.32

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Solution

The fourth proportional to 326,803.41, 490,052.03 and 137,223.32 is: 205,770.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,803.41 : 490,052.03 = 137,223.32 : x
  2. Step 2: Convert to fraction form
    326,803.41/490,052.03 = 137,223.32/x
  3. Step 3: Cross multiply
    326,803.41x = 490,052.03 × 137,223.32
  4. Step 4: Simplify right side
    326,803.41x = 67,246,563,392.96
  5. Step 5: Solve for x
    x = 67,246,563,392.96/326,803.41
  6. Step 6: Final answer
    x = 205,770.69

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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.