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Finding the Fourth Proportional to 212,434.60, 293,170.27 and 116,940.28

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Solution

The fourth proportional to 212,434.60, 293,170.27 and 116,940.28 is: 161,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,434.60 : 293,170.27 = 116,940.28 : x
  2. Step 2: Convert to fraction form
    212,434.60/293,170.27 = 116,940.28/x
  3. Step 3: Cross multiply
    212,434.60x = 293,170.27 × 116,940.28
  4. Step 4: Simplify right side
    212,434.60x = 34,283,413,461.48
  5. Step 5: Solve for x
    x = 34,283,413,461.48/212,434.60
  6. Step 6: Final answer
    x = 161,383.38

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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.