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Finding the Fourth Proportional to 183,584.89, 274,842.45 and 136,409.07

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Solution

The fourth proportional to 183,584.89, 274,842.45 and 136,409.07 is: 204,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,584.89 : 274,842.45 = 136,409.07 : x
  2. Step 2: Convert to fraction form
    183,584.89/274,842.45 = 136,409.07/x
  3. Step 3: Cross multiply
    183,584.89x = 274,842.45 × 136,409.07
  4. Step 4: Simplify right side
    183,584.89x = 37,491,003,001.02
  5. Step 5: Solve for x
    x = 37,491,003,001.02/183,584.89
  6. Step 6: Final answer
    x = 204,216.17

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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.