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Finding the Fourth Proportional to 201,227.60, 301,841.40 and 180,232.40

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Solution

The fourth proportional to 201,227.60, 301,841.40 and 180,232.40 is: 270,348.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,227.60 : 301,841.40 = 180,232.40 : x
  2. Step 2: Convert to fraction form
    201,227.60/301,841.40 = 180,232.40/x
  3. Step 3: Cross multiply
    201,227.60x = 301,841.40 × 180,232.40
  4. Step 4: Simplify right side
    201,227.60x = 54,401,599,941.36
  5. Step 5: Solve for x
    x = 54,401,599,941.36/201,227.60
  6. Step 6: Final answer
    x = 270,348.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.