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Finding the Fourth Proportional to 171,297.23, 256,970.53 and 52,977.80

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Solution

The fourth proportional to 171,297.23, 256,970.53 and 52,977.80 is: 79,474.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,297.23 : 256,970.53 = 52,977.80 : x
  2. Step 2: Convert to fraction form
    171,297.23/256,970.53 = 52,977.80/x
  3. Step 3: Cross multiply
    171,297.23x = 256,970.53 × 52,977.80
  4. Step 4: Simplify right side
    171,297.23x = 13,613,732,309.42
  5. Step 5: Solve for x
    x = 13,613,732,309.42/171,297.23
  6. Step 6: Final answer
    x = 79,474.33

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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.