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Finding the Fourth Proportional to 201,589.88, 278,188.43 and 114,390.86

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Solution

The fourth proportional to 201,589.88, 278,188.43 and 114,390.86 is: 157,856.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,589.88 : 278,188.43 = 114,390.86 : x
  2. Step 2: Convert to fraction form
    201,589.88/278,188.43 = 114,390.86/x
  3. Step 3: Cross multiply
    201,589.88x = 278,188.43 × 114,390.86
  4. Step 4: Simplify right side
    201,589.88x = 31,822,213,749.75
  5. Step 5: Solve for x
    x = 31,822,213,749.75/201,589.88
  6. Step 6: Final answer
    x = 157,856.21

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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.