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Finding the Fourth Proportional to 184,064, 276,111.36 and 52,736

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Solution

The fourth proportional to 184,064, 276,111.36 and 52,736 is: 79,108.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,064 : 276,111.36 = 52,736 : x
  2. Step 2: Convert to fraction form
    184,064/276,111.36 = 52,736/x
  3. Step 3: Cross multiply
    184,064x = 276,111.36 × 52,736
  4. Step 4: Simplify right side
    184,064x = 14,561,008,680.96
  5. Step 5: Solve for x
    x = 14,561,008,680.96/184,064
  6. Step 6: Final answer
    x = 79,108.40

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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.