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Finding the Fourth Proportional to 200,310.40, 300,465.60 and 178,537.60

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Solution

The fourth proportional to 200,310.40, 300,465.60 and 178,537.60 is: 267,806.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,310.40 : 300,465.60 = 178,537.60 : x
  2. Step 2: Convert to fraction form
    200,310.40/300,465.60 = 178,537.60/x
  3. Step 3: Cross multiply
    200,310.40x = 300,465.60 × 178,537.60
  4. Step 4: Simplify right side
    200,310.40x = 53,644,407,106.56
  5. Step 5: Solve for x
    x = 53,644,407,106.56/200,310.40
  6. Step 6: Final answer
    x = 267,806.40

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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.