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Finding the Fourth Proportional to 114,224.73, 171,494.32 and 58,102.82

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Solution

The fourth proportional to 114,224.73, 171,494.32 and 58,102.82 is: 87,234.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,224.73 : 171,494.32 = 58,102.82 : x
  2. Step 2: Convert to fraction form
    114,224.73/171,494.32 = 58,102.82/x
  3. Step 3: Cross multiply
    114,224.73x = 171,494.32 × 58,102.82
  4. Step 4: Simplify right side
    114,224.73x = 9,964,302,748.51
  5. Step 5: Solve for x
    x = 9,964,302,748.51/114,224.73
  6. Step 6: Final answer
    x = 87,234.20

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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.