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Finding the Fourth Proportional to 166,109, 229,236.74 and 94,495.56

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Solution

The fourth proportional to 166,109, 229,236.74 and 94,495.56 is: 130,407.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,109 : 229,236.74 = 94,495.56 : x
  2. Step 2: Convert to fraction form
    166,109/229,236.74 = 94,495.56/x
  3. Step 3: Cross multiply
    166,109x = 229,236.74 × 94,495.56
  4. Step 4: Simplify right side
    166,109x = 21,661,854,118.87
  5. Step 5: Solve for x
    x = 21,661,854,118.87/166,109
  6. Step 6: Final answer
    x = 130,407.47

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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.