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Finding the Fourth Proportional to 208,625.58, 313,066.86 and 82,244.32

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Solution

The fourth proportional to 208,625.58, 313,066.86 and 82,244.32 is: 123,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,625.58 : 313,066.86 = 82,244.32 : x
  2. Step 2: Convert to fraction form
    208,625.58/313,066.86 = 82,244.32/x
  3. Step 3: Cross multiply
    208,625.58x = 313,066.86 × 82,244.32
  4. Step 4: Simplify right side
    208,625.58x = 25,747,971,015.24
  5. Step 5: Solve for x
    x = 25,747,971,015.24/208,625.58
  6. Step 6: Final answer
    x = 123,417.13

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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.