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Finding the Fourth Proportional to 265,889.34, 367,062.71 and 205,324.02

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Solution

The fourth proportional to 265,889.34, 367,062.71 and 205,324.02 is: 283,451.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,889.34 : 367,062.71 = 205,324.02 : x
  2. Step 2: Convert to fraction form
    265,889.34/367,062.71 = 205,324.02/x
  3. Step 3: Cross multiply
    265,889.34x = 367,062.71 × 205,324.02
  4. Step 4: Simplify right side
    265,889.34x = 75,366,790,182.67
  5. Step 5: Solve for x
    x = 75,366,790,182.67/265,889.34
  6. Step 6: Final answer
    x = 283,451.72

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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.