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Finding the Fourth Proportional to 122,797.50, 184,196.25 and 48,977.34

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Solution

The fourth proportional to 122,797.50, 184,196.25 and 48,977.34 is: 73,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,797.50 : 184,196.25 = 48,977.34 : x
  2. Step 2: Convert to fraction form
    122,797.50/184,196.25 = 48,977.34/x
  3. Step 3: Cross multiply
    122,797.50x = 184,196.25 × 48,977.34
  4. Step 4: Simplify right side
    122,797.50x = 9,021,442,362.98
  5. Step 5: Solve for x
    x = 9,021,442,362.98/122,797.50
  6. Step 6: Final answer
    x = 73,466.01

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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.