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Finding the Fourth Proportional to 184,971.72, 277,457.56 and 78,372.48

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Solution

The fourth proportional to 184,971.72, 277,457.56 and 78,372.48 is: 117,558.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,971.72 : 277,457.56 = 78,372.48 : x
  2. Step 2: Convert to fraction form
    184,971.72/277,457.56 = 78,372.48/x
  3. Step 3: Cross multiply
    184,971.72x = 277,457.56 × 78,372.48
  4. Step 4: Simplify right side
    184,971.72x = 21,745,037,071.95
  5. Step 5: Solve for x
    x = 21,745,037,071.95/184,971.72
  6. Step 6: Final answer
    x = 117,558.71

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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.