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Finding the Fourth Proportional to 184,741.70, 277,220.19 and 78,119.30

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Solution

The fourth proportional to 184,741.70, 277,220.19 and 78,119.30 is: 117,224.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,741.70 : 277,220.19 = 78,119.30 : x
  2. Step 2: Convert to fraction form
    184,741.70/277,220.19 = 78,119.30/x
  3. Step 3: Cross multiply
    184,741.70x = 277,220.19 × 78,119.30
  4. Step 4: Simplify right side
    184,741.70x = 21,656,246,730.50
  5. Step 5: Solve for x
    x = 21,656,246,730.50/184,741.70
  6. Step 6: Final answer
    x = 117,224.46

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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.