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Finding the Fourth Proportional to 208,588.10, 287,849.84 and 117,961.86

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Solution

The fourth proportional to 208,588.10, 287,849.84 and 117,961.86 is: 162,786.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,588.10 : 287,849.84 = 117,961.86 : x
  2. Step 2: Convert to fraction form
    208,588.10/287,849.84 = 117,961.86/x
  3. Step 3: Cross multiply
    208,588.10x = 287,849.84 × 117,961.86
  4. Step 4: Simplify right side
    208,588.10x = 33,955,302,527.10
  5. Step 5: Solve for x
    x = 33,955,302,527.10/208,588.10
  6. Step 6: Final answer
    x = 162,786.38

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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.