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Finding the Fourth Proportional to 265,912.62, 367,094.86 and 205,347.30

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Solution

The fourth proportional to 265,912.62, 367,094.86 and 205,347.30 is: 283,483.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,912.62 : 367,094.86 = 205,347.30 : x
  2. Step 2: Convert to fraction form
    265,912.62/367,094.86 = 205,347.30/x
  3. Step 3: Cross multiply
    265,912.62x = 367,094.86 × 205,347.30
  4. Step 4: Simplify right side
    265,912.62x = 75,381,938,344.88
  5. Step 5: Solve for x
    x = 75,381,938,344.88/265,912.62
  6. Step 6: Final answer
    x = 283,483.87

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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.