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Finding the Fourth Proportional to 150,348.60, 207,478.80 and 82,365.30

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Solution

The fourth proportional to 150,348.60, 207,478.80 and 82,365.30 is: 113,662.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,348.60 : 207,478.80 = 82,365.30 : x
  2. Step 2: Convert to fraction form
    150,348.60/207,478.80 = 82,365.30/x
  3. Step 3: Cross multiply
    150,348.60x = 207,478.80 × 82,365.30
  4. Step 4: Simplify right side
    150,348.60x = 17,089,053,605.64
  5. Step 5: Solve for x
    x = 17,089,053,605.64/150,348.60
  6. Step 6: Final answer
    x = 113,662.87

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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.