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Finding the Fourth Proportional to 150,346.39, 207,478.11 and 82,365.82

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Solution

The fourth proportional to 150,346.39, 207,478.11 and 82,365.82 is: 113,664.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,346.39 : 207,478.11 = 82,365.82 : x
  2. Step 2: Convert to fraction form
    150,346.39/207,478.11 = 82,365.82/x
  3. Step 3: Cross multiply
    150,346.39x = 207,478.11 × 82,365.82
  4. Step 4: Simplify right side
    150,346.39x = 17,089,104,662.20
  5. Step 5: Solve for x
    x = 17,089,104,662.20/150,346.39
  6. Step 6: Final answer
    x = 113,664.88

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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.