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Finding the Fourth Proportional to 194,711.50, 268,701.89 and 105,287.50

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Solution

The fourth proportional to 194,711.50, 268,701.89 and 105,287.50 is: 145,296.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,711.50 : 268,701.89 = 105,287.50 : x
  2. Step 2: Convert to fraction form
    194,711.50/268,701.89 = 105,287.50/x
  3. Step 3: Cross multiply
    194,711.50x = 268,701.89 × 105,287.50
  4. Step 4: Simplify right side
    194,711.50x = 28,290,950,243.38
  5. Step 5: Solve for x
    x = 28,290,950,243.38/194,711.50
  6. Step 6: Final answer
    x = 145,296.76

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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.