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Finding the Fourth Proportional to 201,813.20, 302,719.80 and 180,040.40

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Solution

The fourth proportional to 201,813.20, 302,719.80 and 180,040.40 is: 270,060.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,813.20 : 302,719.80 = 180,040.40 : x
  2. Step 2: Convert to fraction form
    201,813.20/302,719.80 = 180,040.40/x
  3. Step 3: Cross multiply
    201,813.20x = 302,719.80 × 180,040.40
  4. Step 4: Simplify right side
    201,813.20x = 54,501,793,879.92
  5. Step 5: Solve for x
    x = 54,501,793,879.92/201,813.20
  6. Step 6: Final answer
    x = 270,060.60

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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.