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Finding the Fourth Proportional to 114,094.92, 171,159.30 and 39,234.36

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Solution

The fourth proportional to 114,094.92, 171,159.30 and 39,234.36 is: 58,857.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,094.92 : 171,159.30 = 39,234.36 : x
  2. Step 2: Convert to fraction form
    114,094.92/171,159.30 = 39,234.36/x
  3. Step 3: Cross multiply
    114,094.92x = 171,159.30 × 39,234.36
  4. Step 4: Simplify right side
    114,094.92x = 6,715,325,593.55
  5. Step 5: Solve for x
    x = 6,715,325,593.55/114,094.92
  6. Step 6: Final answer
    x = 58,857.36

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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.