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Finding the Fourth Proportional to 263,191.86, 362,776.38 and 205,729.81

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Solution

The fourth proportional to 263,191.86, 362,776.38 and 205,729.81 is: 283,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,191.86 : 362,776.38 = 205,729.81 : x
  2. Step 2: Convert to fraction form
    263,191.86/362,776.38 = 205,729.81/x
  3. Step 3: Cross multiply
    263,191.86x = 362,776.38 × 205,729.81
  4. Step 4: Simplify right side
    263,191.86x = 74,633,914,051.46
  5. Step 5: Solve for x
    x = 74,633,914,051.46/263,191.86
  6. Step 6: Final answer
    x = 283,572.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.