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Finding the Fourth Proportional to 206,914.30, 310,588.63 and 183,372.46

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Solution

The fourth proportional to 206,914.30, 310,588.63 and 183,372.46 is: 275,251.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,914.30 : 310,588.63 = 183,372.46 : x
  2. Step 2: Convert to fraction form
    206,914.30/310,588.63 = 183,372.46/x
  3. Step 3: Cross multiply
    206,914.30x = 310,588.63 × 183,372.46
  4. Step 4: Simplify right side
    206,914.30x = 56,953,399,896.23
  5. Step 5: Solve for x
    x = 56,953,399,896.23/206,914.30
  6. Step 6: Final answer
    x = 275,251.16

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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.