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Finding the Fourth Proportional to 212,568.64, 293,338.72 and 115,770.30

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Solution

The fourth proportional to 212,568.64, 293,338.72 and 115,770.30 is: 159,759.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,568.64 : 293,338.72 = 115,770.30 : x
  2. Step 2: Convert to fraction form
    212,568.64/293,338.72 = 115,770.30/x
  3. Step 3: Cross multiply
    212,568.64x = 293,338.72 × 115,770.30
  4. Step 4: Simplify right side
    212,568.64x = 33,959,911,616.02
  5. Step 5: Solve for x
    x = 33,959,911,616.02/212,568.64
  6. Step 6: Final answer
    x = 159,759.74

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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.