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Finding the Fourth Proportional to 186,099.52, 256,809.96 and 101,216.56

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Solution

The fourth proportional to 186,099.52, 256,809.96 and 101,216.56 is: 139,674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,099.52 : 256,809.96 = 101,216.56 : x
  2. Step 2: Convert to fraction form
    186,099.52/256,809.96 = 101,216.56/x
  3. Step 3: Cross multiply
    186,099.52x = 256,809.96 × 101,216.56
  4. Step 4: Simplify right side
    186,099.52x = 25,993,420,724.94
  5. Step 5: Solve for x
    x = 25,993,420,724.94/186,099.52
  6. Step 6: Final answer
    x = 139,674.84

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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.