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Finding the Fourth Proportional to 184,892.92, 277,381.14 and 58,540.84

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Solution

The fourth proportional to 184,892.92, 277,381.14 and 58,540.84 is: 87,824.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,892.92 : 277,381.14 = 58,540.84 : x
  2. Step 2: Convert to fraction form
    184,892.92/277,381.14 = 58,540.84/x
  3. Step 3: Cross multiply
    184,892.92x = 277,381.14 × 58,540.84
  4. Step 4: Simplify right side
    184,892.92x = 16,238,124,935.76
  5. Step 5: Solve for x
    x = 16,238,124,935.76/184,892.92
  6. Step 6: Final answer
    x = 87,824.48

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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.