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Finding the Fourth Proportional to 183,383.81, 253,081.84 and 102,816.56

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Solution

The fourth proportional to 183,383.81, 253,081.84 and 102,816.56 is: 141,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,383.81 : 253,081.84 = 102,816.56 : x
  2. Step 2: Convert to fraction form
    183,383.81/253,081.84 = 102,816.56/x
  3. Step 3: Cross multiply
    183,383.81x = 253,081.84 × 102,816.56
  4. Step 4: Simplify right side
    183,383.81x = 26,021,002,664.82
  5. Step 5: Solve for x
    x = 26,021,002,664.82/183,383.81
  6. Step 6: Final answer
    x = 141,893.67

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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.