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Finding the Fourth Proportional to 207,404.72, 286,224.05 and 116,764.12

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Solution

The fourth proportional to 207,404.72, 286,224.05 and 116,764.12 is: 161,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,404.72 : 286,224.05 = 116,764.12 : x
  2. Step 2: Convert to fraction form
    207,404.72/286,224.05 = 116,764.12/x
  3. Step 3: Cross multiply
    207,404.72x = 286,224.05 × 116,764.12
  4. Step 4: Simplify right side
    207,404.72x = 33,420,699,321.09
  5. Step 5: Solve for x
    x = 33,420,699,321.09/207,404.72
  6. Step 6: Final answer
    x = 161,137.60

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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.