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Finding the Fourth Proportional to 184,745.70, 277,226.20 and 78,123.30

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Solution

The fourth proportional to 184,745.70, 277,226.20 and 78,123.30 is: 117,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,745.70 : 277,226.20 = 78,123.30 : x
  2. Step 2: Convert to fraction form
    184,745.70/277,226.20 = 78,123.30/x
  3. Step 3: Cross multiply
    184,745.70x = 277,226.20 × 78,123.30
  4. Step 4: Simplify right side
    184,745.70x = 21,657,825,590.46
  5. Step 5: Solve for x
    x = 21,657,825,590.46/184,745.70
  6. Step 6: Final answer
    x = 117,230.47

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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.