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Finding the Fourth Proportional to 206,828.70, 310,243.06 and 206,828.70

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Solution

The fourth proportional to 206,828.70, 310,243.06 and 206,828.70 is: 310,243.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,828.70 : 310,243.06 = 206,828.70 : x
  2. Step 2: Convert to fraction form
    206,828.70/310,243.06 = 206,828.70/x
  3. Step 3: Cross multiply
    206,828.70x = 310,243.06 × 206,828.70
  4. Step 4: Simplify right side
    206,828.70x = 64,167,168,783.82
  5. Step 5: Solve for x
    x = 64,167,168,783.82/206,828.70
  6. Step 6: Final answer
    x = 310,243.06

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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.