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Finding the Fourth Proportional to 184,728, 277,138.08 and 53,400

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Solution

The fourth proportional to 184,728, 277,138.08 and 53,400 is: 80,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,728 : 277,138.08 = 53,400 : x
  2. Step 2: Convert to fraction form
    184,728/277,138.08 = 53,400/x
  3. Step 3: Cross multiply
    184,728x = 277,138.08 × 53,400
  4. Step 4: Simplify right side
    184,728x = 14,799,173,472
  5. Step 5: Solve for x
    x = 14,799,173,472/184,728
  6. Step 6: Final answer
    x = 80,113.32

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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.