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Finding the Fourth Proportional to 137,828.55, 206,743.77 and 37,994.16

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Solution

The fourth proportional to 137,828.55, 206,743.77 and 37,994.16 is: 56,991.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,828.55 : 206,743.77 = 37,994.16 : x
  2. Step 2: Convert to fraction form
    137,828.55/206,743.77 = 37,994.16/x
  3. Step 3: Cross multiply
    137,828.55x = 206,743.77 × 37,994.16
  4. Step 4: Simplify right side
    137,828.55x = 7,855,055,876.38
  5. Step 5: Solve for x
    x = 7,855,055,876.38/137,828.55
  6. Step 6: Final answer
    x = 56,991.50

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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.