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Finding the Fourth Proportional to 201,200.40, 301,800.60 and 178,455.60

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Solution

The fourth proportional to 201,200.40, 301,800.60 and 178,455.60 is: 267,683.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,200.40 : 301,800.60 = 178,455.60 : x
  2. Step 2: Convert to fraction form
    201,200.40/301,800.60 = 178,455.60/x
  3. Step 3: Cross multiply
    201,200.40x = 301,800.60 × 178,455.60
  4. Step 4: Simplify right side
    201,200.40x = 53,858,007,153.36
  5. Step 5: Solve for x
    x = 53,858,007,153.36/201,200.40
  6. Step 6: Final answer
    x = 267,683.40

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1.5x scale

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.