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Finding the Fourth Proportional to 171,827.37, 257,637.42 and 77,040.36

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Solution

The fourth proportional to 171,827.37, 257,637.42 and 77,040.36 is: 115,514.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,827.37 : 257,637.42 = 77,040.36 : x
  2. Step 2: Convert to fraction form
    171,827.37/257,637.42 = 77,040.36/x
  3. Step 3: Cross multiply
    171,827.37x = 257,637.42 × 77,040.36
  4. Step 4: Simplify right side
    171,827.37x = 19,848,479,586.27
  5. Step 5: Solve for x
    x = 19,848,479,586.27/171,827.37
  6. Step 6: Final answer
    x = 115,514.07

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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.