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Finding the Fourth Proportional to 186,202.38, 256,914.50 and 109,724.61

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Solution

The fourth proportional to 186,202.38, 256,914.50 and 109,724.61 is: 151,393.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,202.38 : 256,914.50 = 109,724.61 : x
  2. Step 2: Convert to fraction form
    186,202.38/256,914.50 = 109,724.61/x
  3. Step 3: Cross multiply
    186,202.38x = 256,914.50 × 109,724.61
  4. Step 4: Simplify right side
    186,202.38x = 28,189,844,347.85
  5. Step 5: Solve for x
    x = 28,189,844,347.85/186,202.38
  6. Step 6: Final answer
    x = 151,393.57

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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.