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Finding the Fourth Proportional to 207,853.36, 286,833.62 and 117,207.68

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Solution

The fourth proportional to 207,853.36, 286,833.62 and 117,207.68 is: 161,744.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,853.36 : 286,833.62 = 117,207.68 : x
  2. Step 2: Convert to fraction form
    207,853.36/286,833.62 = 117,207.68/x
  3. Step 3: Cross multiply
    207,853.36x = 286,833.62 × 117,207.68
  4. Step 4: Simplify right side
    207,853.36x = 33,619,102,005.05
  5. Step 5: Solve for x
    x = 33,619,102,005.05/207,853.36
  6. Step 6: Final answer
    x = 161,744.33

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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.