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Finding the Fourth Proportional to 214,750.86, 296,359.75 and 117,963.66

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Solution

The fourth proportional to 214,750.86, 296,359.75 and 117,963.66 is: 162,791.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,750.86 : 296,359.75 = 117,963.66 : x
  2. Step 2: Convert to fraction form
    214,750.86/296,359.75 = 117,963.66/x
  3. Step 3: Cross multiply
    214,750.86x = 296,359.75 × 117,963.66
  4. Step 4: Simplify right side
    214,750.86x = 34,959,680,786.69
  5. Step 5: Solve for x
    x = 34,959,680,786.69/214,750.86
  6. Step 6: Final answer
    x = 162,791.81

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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.