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Finding the Fourth Proportional to 137,297.36, 205,911.48 and 43,754.96

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Solution

The fourth proportional to 137,297.36, 205,911.48 and 43,754.96 is: 65,621.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,297.36 : 205,911.48 = 43,754.96 : x
  2. Step 2: Convert to fraction form
    137,297.36/205,911.48 = 43,754.96/x
  3. Step 3: Cross multiply
    137,297.36x = 205,911.48 × 43,754.96
  4. Step 4: Simplify right side
    137,297.36x = 9,009,648,570.94
  5. Step 5: Solve for x
    x = 9,009,648,570.94/137,297.36
  6. Step 6: Final answer
    x = 65,621.43

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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.