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Finding the Fourth Proportional to 198,047.40, 297,114.30 and 57,794.60

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Solution

The fourth proportional to 198,047.40, 297,114.30 and 57,794.60 is: 86,704.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,047.40 : 297,114.30 = 57,794.60 : x
  2. Step 2: Convert to fraction form
    198,047.40/297,114.30 = 57,794.60/x
  3. Step 3: Cross multiply
    198,047.40x = 297,114.30 × 57,794.60
  4. Step 4: Simplify right side
    198,047.40x = 17,171,602,122.78
  5. Step 5: Solve for x
    x = 17,171,602,122.78/198,047.40
  6. Step 6: Final answer
    x = 86,704.51

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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.