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Finding the Fourth Proportional to 152,469.51, 210,608.55 and 117,096.59

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Solution

The fourth proportional to 152,469.51, 210,608.55 and 117,096.59 is: 161,747.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,469.51 : 210,608.55 = 117,096.59 : x
  2. Step 2: Convert to fraction form
    152,469.51/210,608.55 = 117,096.59/x
  3. Step 3: Cross multiply
    152,469.51x = 210,608.55 × 117,096.59
  4. Step 4: Simplify right side
    152,469.51x = 24,661,541,976.80
  5. Step 5: Solve for x
    x = 24,661,541,976.80/152,469.51
  6. Step 6: Final answer
    x = 161,747.37

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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.