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Finding the Fourth Proportional to 182,141, 273,186.88 and 49,029.24

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Solution

The fourth proportional to 182,141, 273,186.88 and 49,029.24 is: 73,537.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,141 : 273,186.88 = 49,029.24 : x
  2. Step 2: Convert to fraction form
    182,141/273,186.88 = 49,029.24/x
  3. Step 3: Cross multiply
    182,141x = 273,186.88 × 49,029.24
  4. Step 4: Simplify right side
    182,141x = 13,394,145,104.37
  5. Step 5: Solve for x
    x = 13,394,145,104.37/182,141
  6. Step 6: Final answer
    x = 73,537.23

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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.