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Finding the Fourth Proportional to 291,261.60, 437,086.80 and 133,408.80

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Solution

The fourth proportional to 291,261.60, 437,086.80 and 133,408.80 is: 200,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,261.60 : 437,086.80 = 133,408.80 : x
  2. Step 2: Convert to fraction form
    291,261.60/437,086.80 = 133,408.80/x
  3. Step 3: Cross multiply
    291,261.60x = 437,086.80 × 133,408.80
  4. Step 4: Simplify right side
    291,261.60x = 58,311,225,483.84
  5. Step 5: Solve for x
    x = 58,311,225,483.84/291,261.60
  6. Step 6: Final answer
    x = 200,202.24

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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.