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Finding the Fourth Proportional to 212,175.95, 292,796.97 and 116,682.65

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Solution

The fourth proportional to 212,175.95, 292,796.97 and 116,682.65 is: 161,018.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,175.95 : 292,796.97 = 116,682.65 : x
  2. Step 2: Convert to fraction form
    212,175.95/292,796.97 = 116,682.65/x
  3. Step 3: Cross multiply
    212,175.95x = 292,796.97 × 116,682.65
  4. Step 4: Simplify right side
    212,175.95x = 34,164,324,324.17
  5. Step 5: Solve for x
    x = 34,164,324,324.17/212,175.95
  6. Step 6: Final answer
    x = 161,018.84

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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.