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Finding the Fourth Proportional to 207,064.89, 285,759.63 and 116,449.38

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Solution

The fourth proportional to 207,064.89, 285,759.63 and 116,449.38 is: 160,705.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,064.89 : 285,759.63 = 116,449.38 : x
  2. Step 2: Convert to fraction form
    207,064.89/285,759.63 = 116,449.38/x
  3. Step 3: Cross multiply
    207,064.89x = 285,759.63 × 116,449.38
  4. Step 4: Simplify right side
    207,064.89x = 33,276,531,742.53
  5. Step 5: Solve for x
    x = 33,276,531,742.53/207,064.89
  6. Step 6: Final answer
    x = 160,705.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.