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Finding the Fourth Proportional to 222,546.41, 307,114.22 and 130,647.71

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Solution

The fourth proportional to 222,546.41, 307,114.22 and 130,647.71 is: 180,293.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,546.41 : 307,114.22 = 130,647.71 : x
  2. Step 2: Convert to fraction form
    222,546.41/307,114.22 = 130,647.71/x
  3. Step 3: Cross multiply
    222,546.41x = 307,114.22 × 130,647.71
  4. Step 4: Simplify right side
    222,546.41x = 40,123,769,494.16
  5. Step 5: Solve for x
    x = 40,123,769,494.16/222,546.41
  6. Step 6: Final answer
    x = 180,293.94

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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.