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Finding the Fourth Proportional to 208,010.40, 311,732.91 and 87,967.59

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Solution

The fourth proportional to 208,010.40, 311,732.91 and 87,967.59 is: 131,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,010.40 : 311,732.91 = 87,967.59 : x
  2. Step 2: Convert to fraction form
    208,010.40/311,732.91 = 87,967.59/x
  3. Step 3: Cross multiply
    208,010.40x = 311,732.91 × 87,967.59
  4. Step 4: Simplify right side
    208,010.40x = 27,422,392,816.39
  5. Step 5: Solve for x
    x = 27,422,392,816.39/208,010.40
  6. Step 6: Final answer
    x = 131,831.84

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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.