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Finding the Fourth Proportional to 235,306, 324,724.37 and 127,876.04

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Solution

The fourth proportional to 235,306, 324,724.37 and 127,876.04 is: 176,470.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,306 : 324,724.37 = 127,876.04 : x
  2. Step 2: Convert to fraction form
    235,306/324,724.37 = 127,876.04/x
  3. Step 3: Cross multiply
    235,306x = 324,724.37 × 127,876.04
  4. Step 4: Simplify right side
    235,306x = 41,524,466,527.09
  5. Step 5: Solve for x
    x = 41,524,466,527.09/235,306
  6. Step 6: Final answer
    x = 176,470.07

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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.