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Finding the Fourth Proportional to 194,682.80, 268,719.72 and 114,127.76

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Solution

The fourth proportional to 194,682.80, 268,719.72 and 114,127.76 is: 157,529.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,682.80 : 268,719.72 = 114,127.76 : x
  2. Step 2: Convert to fraction form
    194,682.80/268,719.72 = 114,127.76/x
  3. Step 3: Cross multiply
    194,682.80x = 268,719.72 × 114,127.76
  4. Step 4: Simplify right side
    194,682.80x = 30,668,379,711.43
  5. Step 5: Solve for x
    x = 30,668,379,711.43/194,682.80
  6. Step 6: Final answer
    x = 157,529.99

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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.