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Finding the Fourth Proportional to 161,093.92, 222,548.34 and 106,033.12

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Solution

The fourth proportional to 161,093.92, 222,548.34 and 106,033.12 is: 146,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,093.92 : 222,548.34 = 106,033.12 : x
  2. Step 2: Convert to fraction form
    161,093.92/222,548.34 = 106,033.12/x
  3. Step 3: Cross multiply
    161,093.92x = 222,548.34 × 106,033.12
  4. Step 4: Simplify right side
    161,093.92x = 23,597,494,841.02
  5. Step 5: Solve for x
    x = 23,597,494,841.02/161,093.92
  6. Step 6: Final answer
    x = 146,482.84

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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.