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Finding the Fourth Proportional to 222,457.34, 306,989.60 and 120,480.47

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Solution

The fourth proportional to 222,457.34, 306,989.60 and 120,480.47 is: 166,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,457.34 : 306,989.60 = 120,480.47 : x
  2. Step 2: Convert to fraction form
    222,457.34/306,989.60 = 120,480.47/x
  3. Step 3: Cross multiply
    222,457.34x = 306,989.60 × 120,480.47
  4. Step 4: Simplify right side
    222,457.34x = 36,986,250,984.68
  5. Step 5: Solve for x
    x = 36,986,250,984.68/222,457.34
  6. Step 6: Final answer
    x = 166,262.22

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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.