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Finding the Fourth Proportional to 212,151.90, 292,777.14 and 116,665.86

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Solution

The fourth proportional to 212,151.90, 292,777.14 and 116,665.86 is: 161,003.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,151.90 : 292,777.14 = 116,665.86 : x
  2. Step 2: Convert to fraction form
    212,151.90/292,777.14 = 116,665.86/x
  3. Step 3: Cross multiply
    212,151.90x = 292,777.14 × 116,665.86
  4. Step 4: Simplify right side
    212,151.90x = 34,157,096,826.44
  5. Step 5: Solve for x
    x = 34,157,096,826.44/212,151.90
  6. Step 6: Final answer
    x = 161,003.02

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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.