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Finding the Fourth Proportional to 212,770.59, 293,619.78 and 117,286.17

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Solution

The fourth proportional to 212,770.59, 293,619.78 and 117,286.17 is: 161,852.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,770.59 : 293,619.78 = 117,286.17 : x
  2. Step 2: Convert to fraction form
    212,770.59/293,619.78 = 117,286.17/x
  3. Step 3: Cross multiply
    212,770.59x = 293,619.78 × 117,286.17
  4. Step 4: Simplify right side
    212,770.59x = 34,437,539,432.44
  5. Step 5: Solve for x
    x = 34,437,539,432.44/212,770.59
  6. Step 6: Final answer
    x = 161,852.91

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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.