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Finding the Fourth Proportional to 212,857.68, 293,745.80 and 117,367.76

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Solution

The fourth proportional to 212,857.68, 293,745.80 and 117,367.76 is: 161,968.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,857.68 : 293,745.80 = 117,367.76 : x
  2. Step 2: Convert to fraction form
    212,857.68/293,745.80 = 117,367.76/x
  3. Step 3: Cross multiply
    212,857.68x = 293,745.80 × 117,367.76
  4. Step 4: Simplify right side
    212,857.68x = 34,476,286,555.41
  5. Step 5: Solve for x
    x = 34,476,286,555.41/212,857.68
  6. Step 6: Final answer
    x = 161,968.72

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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.