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Finding the Fourth Proportional to 201,214.40, 301,821.60 and 178,469.60

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Solution

The fourth proportional to 201,214.40, 301,821.60 and 178,469.60 is: 267,704.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,214.40 : 301,821.60 = 178,469.60 : x
  2. Step 2: Convert to fraction form
    201,214.40/301,821.60 = 178,469.60/x
  3. Step 3: Cross multiply
    201,214.40x = 301,821.60 × 178,469.60
  4. Step 4: Simplify right side
    201,214.40x = 53,865,980,223.36
  5. Step 5: Solve for x
    x = 53,865,980,223.36/201,214.40
  6. Step 6: Final answer
    x = 267,704.40

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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.