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Finding the Fourth Proportional to 194,281.28, 268,137.92 and 117,812.80

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Solution

The fourth proportional to 194,281.28, 268,137.92 and 117,812.80 is: 162,599.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,281.28 : 268,137.92 = 117,812.80 : x
  2. Step 2: Convert to fraction form
    194,281.28/268,137.92 = 117,812.80/x
  3. Step 3: Cross multiply
    194,281.28x = 268,137.92 × 117,812.80
  4. Step 4: Simplify right side
    194,281.28x = 31,590,079,141.38
  5. Step 5: Solve for x
    x = 31,590,079,141.38/194,281.28
  6. Step 6: Final answer
    x = 162,599.71

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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.