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Finding the Fourth Proportional to 184,140.40, 275,821.80 and 164,441.20

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Solution

The fourth proportional to 184,140.40, 275,821.80 and 164,441.20 is: 246,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,140.40 : 275,821.80 = 164,441.20 : x
  2. Step 2: Convert to fraction form
    184,140.40/275,821.80 = 164,441.20/x
  3. Step 3: Cross multiply
    184,140.40x = 275,821.80 × 164,441.20
  4. Step 4: Simplify right side
    184,140.40x = 45,356,467,778.16
  5. Step 5: Solve for x
    x = 45,356,467,778.16/184,140.40
  6. Step 6: Final answer
    x = 246,314.59

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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.