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Finding the Fourth Proportional to 212,201.64, 292,847.54 and 116,711.82

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Solution

The fourth proportional to 212,201.64, 292,847.54 and 116,711.82 is: 161,067.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,201.64 : 292,847.54 = 116,711.82 : x
  2. Step 2: Convert to fraction form
    212,201.64/292,847.54 = 116,711.82/x
  3. Step 3: Cross multiply
    212,201.64x = 292,847.54 × 116,711.82
  4. Step 4: Simplify right side
    212,201.64x = 34,178,768,792.36
  5. Step 5: Solve for x
    x = 34,178,768,792.36/212,201.64
  6. Step 6: Final answer
    x = 161,067.41

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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.