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Finding the Fourth Proportional to 201,219.67, 301,549.14 and 151,241.46

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Solution

The fourth proportional to 201,219.67, 301,549.14 and 151,241.46 is: 226,651.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,219.67 : 301,549.14 = 151,241.46 : x
  2. Step 2: Convert to fraction form
    201,219.67/301,549.14 = 151,241.46/x
  3. Step 3: Cross multiply
    201,219.67x = 301,549.14 × 151,241.46
  4. Step 4: Simplify right side
    201,219.67x = 45,606,730,687.60
  5. Step 5: Solve for x
    x = 45,606,730,687.60/201,219.67
  6. Step 6: Final answer
    x = 226,651.45

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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.