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Finding the Fourth Proportional to 208,096.40, 312,290.40 and 133,398.20

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Solution

The fourth proportional to 208,096.40, 312,290.40 and 133,398.20 is: 200,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,096.40 : 312,290.40 = 133,398.20 : x
  2. Step 2: Convert to fraction form
    208,096.40/312,290.40 = 133,398.20/x
  3. Step 3: Cross multiply
    208,096.40x = 312,290.40 × 133,398.20
  4. Step 4: Simplify right side
    208,096.40x = 41,658,977,237.28
  5. Step 5: Solve for x
    x = 41,658,977,237.28/208,096.40
  6. Step 6: Final answer
    x = 200,190.76

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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.