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Finding the Fourth Proportional to 100,731.43, 139,006.46 and 55,409.43

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Solution

The fourth proportional to 100,731.43, 139,006.46 and 55,409.43 is: 76,463.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,731.43 : 139,006.46 = 55,409.43 : x
  2. Step 2: Convert to fraction form
    100,731.43/139,006.46 = 55,409.43/x
  3. Step 3: Cross multiply
    100,731.43x = 139,006.46 × 55,409.43
  4. Step 4: Simplify right side
    100,731.43x = 7,702,269,374.72
  5. Step 5: Solve for x
    x = 7,702,269,374.72/100,731.43
  6. Step 6: Final answer
    x = 76,463.42

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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.