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Finding the Fourth Proportional to 235,233.60, 352,461.60 and 201,796.80

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Solution

The fourth proportional to 235,233.60, 352,461.60 and 201,796.80 is: 302,361.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,233.60 : 352,461.60 = 201,796.80 : x
  2. Step 2: Convert to fraction form
    235,233.60/352,461.60 = 201,796.80/x
  3. Step 3: Cross multiply
    235,233.60x = 352,461.60 × 201,796.80
  4. Step 4: Simplify right side
    235,233.60x = 71,125,623,002.88
  5. Step 5: Solve for x
    x = 71,125,623,002.88/235,233.60
  6. Step 6: Final answer
    x = 302,361.67

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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.