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Finding the Fourth Proportional to 212,711.64, 293,540.78 and 115,915.28

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Solution

The fourth proportional to 212,711.64, 293,540.78 and 115,915.28 is: 159,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,711.64 : 293,540.78 = 115,915.28 : x
  2. Step 2: Convert to fraction form
    212,711.64/293,540.78 = 115,915.28/x
  3. Step 3: Cross multiply
    212,711.64x = 293,540.78 × 115,915.28
  4. Step 4: Simplify right side
    212,711.64x = 34,025,861,705.12
  5. Step 5: Solve for x
    x = 34,025,861,705.12/212,711.64
  6. Step 6: Final answer
    x = 159,962.39

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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.