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Finding the Fourth Proportional to 212,542.68, 293,310.84 and 117,049.76

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Solution

The fourth proportional to 212,542.68, 293,310.84 and 117,049.76 is: 161,529.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,542.68 : 293,310.84 = 117,049.76 : x
  2. Step 2: Convert to fraction form
    212,542.68/293,310.84 = 117,049.76/x
  3. Step 3: Cross multiply
    212,542.68x = 293,310.84 × 117,049.76
  4. Step 4: Simplify right side
    212,542.68x = 34,331,963,427.40
  5. Step 5: Solve for x
    x = 34,331,963,427.40/212,542.68
  6. Step 6: Final answer
    x = 161,529.74

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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.