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Finding the Fourth Proportional to 302,351.42, 417,105.36 and 194,955.95

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Solution

The fourth proportional to 302,351.42, 417,105.36 and 194,955.95 is: 268,949.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,351.42 : 417,105.36 = 194,955.95 : x
  2. Step 2: Convert to fraction form
    302,351.42/417,105.36 = 194,955.95/x
  3. Step 3: Cross multiply
    302,351.42x = 417,105.36 × 194,955.95
  4. Step 4: Simplify right side
    302,351.42x = 81,317,171,708.89
  5. Step 5: Solve for x
    x = 81,317,171,708.89/302,351.42
  6. Step 6: Final answer
    x = 268,949.20

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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.