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Finding the Fourth Proportional to 361,846.10, 542,561.50 and 137,063.17

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Solution

The fourth proportional to 361,846.10, 542,561.50 and 137,063.17 is: 205,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,846.10 : 542,561.50 = 137,063.17 : x
  2. Step 2: Convert to fraction form
    361,846.10/542,561.50 = 137,063.17/x
  3. Step 3: Cross multiply
    361,846.10x = 542,561.50 × 137,063.17
  4. Step 4: Simplify right side
    361,846.10x = 74,365,198,424.64
  5. Step 5: Solve for x
    x = 74,365,198,424.64/361,846.10
  6. Step 6: Final answer
    x = 205,516.10

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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.