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Finding the Fourth Proportional to 207,042.13, 285,716.41 and 116,398.50

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Solution

The fourth proportional to 207,042.13, 285,716.41 and 116,398.50 is: 160,628.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,042.13 : 285,716.41 = 116,398.50 : x
  2. Step 2: Convert to fraction form
    207,042.13/285,716.41 = 116,398.50/x
  3. Step 3: Cross multiply
    207,042.13x = 285,716.41 × 116,398.50
  4. Step 4: Simplify right side
    207,042.13x = 33,256,961,549.39
  5. Step 5: Solve for x
    x = 33,256,961,549.39/207,042.13
  6. Step 6: Final answer
    x = 160,628.96

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