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Finding the Fourth Proportional to 201,142.71, 277,546.11 and 116,243.39

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Solution

The fourth proportional to 201,142.71, 277,546.11 and 116,243.39 is: 160,398.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,142.71 : 277,546.11 = 116,243.39 : x
  2. Step 2: Convert to fraction form
    201,142.71/277,546.11 = 116,243.39/x
  3. Step 3: Cross multiply
    201,142.71x = 277,546.11 × 116,243.39
  4. Step 4: Simplify right side
    201,142.71x = 32,262,900,707.71
  5. Step 5: Solve for x
    x = 32,262,900,707.71/201,142.71
  6. Step 6: Final answer
    x = 160,398.06

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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.