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Finding the Fourth Proportional to 214,409.94, 295,788.69 and 133,857.33

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Solution

The fourth proportional to 214,409.94, 295,788.69 and 133,857.33 is: 184,662.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,409.94 : 295,788.69 = 133,857.33 : x
  2. Step 2: Convert to fraction form
    214,409.94/295,788.69 = 133,857.33/x
  3. Step 3: Cross multiply
    214,409.94x = 295,788.69 × 133,857.33
  4. Step 4: Simplify right side
    214,409.94x = 39,593,484,287.60
  5. Step 5: Solve for x
    x = 39,593,484,287.60/214,409.94
  6. Step 6: Final answer
    x = 184,662.54

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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.