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Finding the Fourth Proportional to 212,198.96, 292,840.68 and 116,711.80

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Solution

The fourth proportional to 212,198.96, 292,840.68 and 116,711.80 is: 161,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,198.96 : 292,840.68 = 116,711.80 : x
  2. Step 2: Convert to fraction form
    212,198.96/292,840.68 = 116,711.80/x
  3. Step 3: Cross multiply
    212,198.96x = 292,840.68 × 116,711.80
  4. Step 4: Simplify right side
    212,198.96x = 34,177,962,876.02
  5. Step 5: Solve for x
    x = 34,177,962,876.02/212,198.96
  6. Step 6: Final answer
    x = 161,065.65

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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.