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Finding the Fourth Proportional to 183,548.34, 253,299.17 and 102,971.05

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Solution

The fourth proportional to 183,548.34, 253,299.17 and 102,971.05 is: 142,101.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,548.34 : 253,299.17 = 102,971.05 : x
  2. Step 2: Convert to fraction form
    183,548.34/253,299.17 = 102,971.05/x
  3. Step 3: Cross multiply
    183,548.34x = 253,299.17 × 102,971.05
  4. Step 4: Simplify right side
    183,548.34x = 26,082,481,499.03
  5. Step 5: Solve for x
    x = 26,082,481,499.03/183,548.34
  6. Step 6: Final answer
    x = 142,101.43

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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.