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Finding the Fourth Proportional to 212,262.28, 292,917.16 and 116,766.88

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Solution

The fourth proportional to 212,262.28, 292,917.16 and 116,766.88 is: 161,135.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,262.28 : 292,917.16 = 116,766.88 : x
  2. Step 2: Convert to fraction form
    212,262.28/292,917.16 = 116,766.88/x
  3. Step 3: Cross multiply
    212,262.28x = 292,917.16 × 116,766.88
  4. Step 4: Simplify right side
    212,262.28x = 34,203,022,871.66
  5. Step 5: Solve for x
    x = 34,203,022,871.66/212,262.28
  6. Step 6: Final answer
    x = 161,135.66

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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.