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Finding the Fourth Proportional to 265,922.64, 367,108.62 and 205,357.32

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Solution

The fourth proportional to 265,922.64, 367,108.62 and 205,357.32 is: 283,497.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,922.64 : 367,108.62 = 205,357.32 : x
  2. Step 2: Convert to fraction form
    265,922.64/367,108.62 = 205,357.32/x
  3. Step 3: Cross multiply
    265,922.64x = 367,108.62 × 205,357.32
  4. Step 4: Simplify right side
    265,922.64x = 75,388,442,352.10
  5. Step 5: Solve for x
    x = 75,388,442,352.10/265,922.64
  6. Step 6: Final answer
    x = 283,497.65

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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.