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Finding the Fourth Proportional to 140,797.95, 194,299.54 and 76,265.97

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Solution

The fourth proportional to 140,797.95, 194,299.54 and 76,265.97 is: 105,246.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,797.95 : 194,299.54 = 76,265.97 : x
  2. Step 2: Convert to fraction form
    140,797.95/194,299.54 = 76,265.97/x
  3. Step 3: Cross multiply
    140,797.95x = 194,299.54 × 76,265.97
  4. Step 4: Simplify right side
    140,797.95x = 14,818,442,888.65
  5. Step 5: Solve for x
    x = 14,818,442,888.65/140,797.95
  6. Step 6: Final answer
    x = 105,246.16

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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.