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Finding the Fourth Proportional to 137,755.26, 206,608.05 and 37,902.51

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Solution

The fourth proportional to 137,755.26, 206,608.05 and 37,902.51 is: 56,846.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,755.26 : 206,608.05 = 37,902.51 : x
  2. Step 2: Convert to fraction form
    137,755.26/206,608.05 = 37,902.51/x
  3. Step 3: Cross multiply
    137,755.26x = 206,608.05 × 37,902.51
  4. Step 4: Simplify right side
    137,755.26x = 7,830,963,681.21
  5. Step 5: Solve for x
    x = 7,830,963,681.21/137,755.26
  6. Step 6: Final answer
    x = 56,846.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.