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Finding the Fourth Proportional to 247,989.81, 342,204.05 and 137,611.22

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Solution

The fourth proportional to 247,989.81, 342,204.05 and 137,611.22 is: 189,891.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,989.81 : 342,204.05 = 137,611.22 : x
  2. Step 2: Convert to fraction form
    247,989.81/342,204.05 = 137,611.22/x
  3. Step 3: Cross multiply
    247,989.81x = 342,204.05 × 137,611.22
  4. Step 4: Simplify right side
    247,989.81x = 47,091,116,121.38
  5. Step 5: Solve for x
    x = 47,091,116,121.38/247,989.81
  6. Step 6: Final answer
    x = 189,891.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.