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Finding the Fourth Proportional to 194,460, 268,378.56 and 109,592.52

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Solution

The fourth proportional to 194,460, 268,378.56 and 109,592.52 is: 151,251.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,460 : 268,378.56 = 109,592.52 : x
  2. Step 2: Convert to fraction form
    194,460/268,378.56 = 109,592.52/x
  3. Step 3: Cross multiply
    194,460x = 268,378.56 × 109,592.52
  4. Step 4: Simplify right side
    194,460x = 29,412,282,704.37
  5. Step 5: Solve for x
    x = 29,412,282,704.37/194,460
  6. Step 6: Final answer
    x = 151,251.07

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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.