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Finding the Fourth Proportional to 118,953.88, 164,141.36 and 65,224.75

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Solution

The fourth proportional to 118,953.88, 164,141.36 and 65,224.75 is: 90,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,953.88 : 164,141.36 = 65,224.75 : x
  2. Step 2: Convert to fraction form
    118,953.88/164,141.36 = 65,224.75/x
  3. Step 3: Cross multiply
    118,953.88x = 164,141.36 × 65,224.75
  4. Step 4: Simplify right side
    118,953.88x = 10,706,079,170.66
  5. Step 5: Solve for x
    x = 10,706,079,170.66/118,953.88
  6. Step 6: Final answer
    x = 90,001.93

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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.