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Finding the Fourth Proportional to 212,751.54, 293,599.17 and 117,261.90

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Solution

The fourth proportional to 212,751.54, 293,599.17 and 117,261.90 is: 161,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,751.54 : 293,599.17 = 117,261.90 : x
  2. Step 2: Convert to fraction form
    212,751.54/293,599.17 = 117,261.90/x
  3. Step 3: Cross multiply
    212,751.54x = 293,599.17 × 117,261.90
  4. Step 4: Simplify right side
    212,751.54x = 34,427,996,512.62
  5. Step 5: Solve for x
    x = 34,427,996,512.62/212,751.54
  6. Step 6: Final answer
    x = 161,822.55

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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.