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Finding the Fourth Proportional to 265,964.42, 367,063.17 and 194,308.58

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Solution

The fourth proportional to 265,964.42, 367,063.17 and 194,308.58 is: 268,169.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,964.42 : 367,063.17 = 194,308.58 : x
  2. Step 2: Convert to fraction form
    265,964.42/367,063.17 = 194,308.58/x
  3. Step 3: Cross multiply
    265,964.42x = 367,063.17 × 194,308.58
  4. Step 4: Simplify right side
    265,964.42x = 71,323,523,333.00
  5. Step 5: Solve for x
    x = 71,323,523,333.00/265,964.42
  6. Step 6: Final answer
    x = 268,169.42

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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.