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Finding the Fourth Proportional to 194,605.34, 268,555.40 and 109,722.40

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Solution

The fourth proportional to 194,605.34, 268,555.40 and 109,722.40 is: 151,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,605.34 : 268,555.40 = 109,722.40 : x
  2. Step 2: Convert to fraction form
    194,605.34/268,555.40 = 109,722.40/x
  3. Step 3: Cross multiply
    194,605.34x = 268,555.40 × 109,722.40
  4. Step 4: Simplify right side
    194,605.34x = 29,466,542,212.42
  5. Step 5: Solve for x
    x = 29,466,542,212.42/194,605.34
  6. Step 6: Final answer
    x = 151,416.93

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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.