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Finding the Fourth Proportional to 134,076.10, 200,986.15 and 49,813.70

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Solution

The fourth proportional to 134,076.10, 200,986.15 and 49,813.70 is: 74,672.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,076.10 : 200,986.15 = 49,813.70 : x
  2. Step 2: Convert to fraction form
    134,076.10/200,986.15 = 49,813.70/x
  3. Step 3: Cross multiply
    134,076.10x = 200,986.15 × 49,813.70
  4. Step 4: Simplify right side
    134,076.10x = 10,011,863,780.26
  5. Step 5: Solve for x
    x = 10,011,863,780.26/134,076.10
  6. Step 6: Final answer
    x = 74,672.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.