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Finding the Fourth Proportional to 122,692.72, 184,272.36 and 76,270

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Solution

The fourth proportional to 122,692.72, 184,272.36 and 76,270 is: 114,550.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,692.72 : 184,272.36 = 76,270 : x
  2. Step 2: Convert to fraction form
    122,692.72/184,272.36 = 76,270/x
  3. Step 3: Cross multiply
    122,692.72x = 184,272.36 × 76,270
  4. Step 4: Simplify right side
    122,692.72x = 14,054,452,897.20
  5. Step 5: Solve for x
    x = 14,054,452,897.20/122,692.72
  6. Step 6: Final answer
    x = 114,550.01

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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.