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Finding the Fourth Proportional to 214,059.84, 295,404.61 and 117,265.96

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Solution

The fourth proportional to 214,059.84, 295,404.61 and 117,265.96 is: 161,828.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,059.84 : 295,404.61 = 117,265.96 : x
  2. Step 2: Convert to fraction form
    214,059.84/295,404.61 = 117,265.96/x
  3. Step 3: Cross multiply
    214,059.84x = 295,404.61 × 117,265.96
  4. Step 4: Simplify right side
    214,059.84x = 34,640,905,180.08
  5. Step 5: Solve for x
    x = 34,640,905,180.08/214,059.84
  6. Step 6: Final answer
    x = 161,828.14

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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.