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Finding the Fourth Proportional to 137,591.76, 206,408.18 and 48,837.84

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Solution

The fourth proportional to 137,591.76, 206,408.18 and 48,837.84 is: 73,264.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,591.76 : 206,408.18 = 48,837.84 : x
  2. Step 2: Convert to fraction form
    137,591.76/206,408.18 = 48,837.84/x
  3. Step 3: Cross multiply
    137,591.76x = 206,408.18 × 48,837.84
  4. Step 4: Simplify right side
    137,591.76x = 10,080,529,669.53
  5. Step 5: Solve for x
    x = 10,080,529,669.53/137,591.76
  6. Step 6: Final answer
    x = 73,264.05

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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.