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Finding the Fourth Proportional to 171,131.86, 256,678.16 and 44,784.34

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Solution

The fourth proportional to 171,131.86, 256,678.16 and 44,784.34 is: 67,171.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,131.86 : 256,678.16 = 44,784.34 : x
  2. Step 2: Convert to fraction form
    171,131.86/256,678.16 = 44,784.34/x
  3. Step 3: Cross multiply
    171,131.86x = 256,678.16 × 44,784.34
  4. Step 4: Simplify right side
    171,131.86x = 11,495,161,988.01
  5. Step 5: Solve for x
    x = 11,495,161,988.01/171,131.86
  6. Step 6: Final answer
    x = 67,171.37

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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.