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Finding the Fourth Proportional to 207,787.50, 311,681.34 and 50,015.97

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Solution

The fourth proportional to 207,787.50, 311,681.34 and 50,015.97 is: 75,023.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,787.50 : 311,681.34 = 50,015.97 : x
  2. Step 2: Convert to fraction form
    207,787.50/311,681.34 = 50,015.97/x
  3. Step 3: Cross multiply
    207,787.50x = 311,681.34 × 50,015.97
  4. Step 4: Simplify right side
    207,787.50x = 15,589,044,551.00
  5. Step 5: Solve for x
    x = 15,589,044,551.00/207,787.50
  6. Step 6: Final answer
    x = 75,023.98

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1.5x scale

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.