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Finding the Fourth Proportional to 150,951.30, 208,308.56 and 82,968.40

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Solution

The fourth proportional to 150,951.30, 208,308.56 and 82,968.40 is: 114,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,951.30 : 208,308.56 = 82,968.40 : x
  2. Step 2: Convert to fraction form
    150,951.30/208,308.56 = 82,968.40/x
  3. Step 3: Cross multiply
    150,951.30x = 208,308.56 × 82,968.40
  4. Step 4: Simplify right side
    150,951.30x = 17,283,028,241.75
  5. Step 5: Solve for x
    x = 17,283,028,241.75/150,951.30
  6. Step 6: Final answer
    x = 114,494.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.