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Finding the Fourth Proportional to 137,415.68, 206,113.44 and 43,896.32

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Solution

The fourth proportional to 137,415.68, 206,113.44 and 43,896.32 is: 65,841.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,415.68 : 206,113.44 = 43,896.32 : x
  2. Step 2: Convert to fraction form
    137,415.68/206,113.44 = 43,896.32/x
  3. Step 3: Cross multiply
    137,415.68x = 206,113.44 × 43,896.32
  4. Step 4: Simplify right side
    137,415.68x = 9,047,621,518.54
  5. Step 5: Solve for x
    x = 9,047,621,518.54/137,415.68
  6. Step 6: Final answer
    x = 65,841.26

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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.