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Finding the Fourth Proportional to 206,715.20, 310,072.80 and 180,471.20

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Solution

The fourth proportional to 206,715.20, 310,072.80 and 180,471.20 is: 270,706.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,715.20 : 310,072.80 = 180,471.20 : x
  2. Step 2: Convert to fraction form
    206,715.20/310,072.80 = 180,471.20/x
  3. Step 3: Cross multiply
    206,715.20x = 310,072.80 × 180,471.20
  4. Step 4: Simplify right side
    206,715.20x = 55,959,210,303.36
  5. Step 5: Solve for x
    x = 55,959,210,303.36/206,715.20
  6. Step 6: Final answer
    x = 270,706.80

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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.