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Finding the Fourth Proportional to 194,226.38, 268,057.95 and 109,359.98

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Solution

The fourth proportional to 194,226.38, 268,057.95 and 109,359.98 is: 150,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,226.38 : 268,057.95 = 109,359.98 : x
  2. Step 2: Convert to fraction form
    194,226.38/268,057.95 = 109,359.98/x
  3. Step 3: Cross multiply
    194,226.38x = 268,057.95 × 109,359.98
  4. Step 4: Simplify right side
    194,226.38x = 29,314,812,050.84
  5. Step 5: Solve for x
    x = 29,314,812,050.84/194,226.38
  6. Step 6: Final answer
    x = 150,931.16

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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.