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Finding the Fourth Proportional to 214,085.28, 295,433.82 and 118,591.68

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Solution

The fourth proportional to 214,085.28, 295,433.82 and 118,591.68 is: 163,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,085.28 : 295,433.82 = 118,591.68 : x
  2. Step 2: Convert to fraction form
    214,085.28/295,433.82 = 118,591.68/x
  3. Step 3: Cross multiply
    214,085.28x = 295,433.82 × 118,591.68
  4. Step 4: Simplify right side
    214,085.28x = 35,035,993,042.62
  5. Step 5: Solve for x
    x = 35,035,993,042.62/214,085.28
  6. Step 6: Final answer
    x = 163,654.38

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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.