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Finding the Fourth Proportional to 212,576.96, 293,359.38 and 115,785.28

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Solution

The fourth proportional to 212,576.96, 293,359.38 and 115,785.28 is: 159,785.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,576.96 : 293,359.38 = 115,785.28 : x
  2. Step 2: Convert to fraction form
    212,576.96/293,359.38 = 115,785.28/x
  3. Step 3: Cross multiply
    212,576.96x = 293,359.38 × 115,785.28
  4. Step 4: Simplify right side
    212,576.96x = 33,966,697,375
  5. Step 5: Solve for x
    x = 33,966,697,375/212,576.96
  6. Step 6: Final answer
    x = 159,785.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.