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Finding the Fourth Proportional to 214,404.94, 295,781.79 and 133,852.33

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Solution

The fourth proportional to 214,404.94, 295,781.79 and 133,852.33 is: 184,655.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,404.94 : 295,781.79 = 133,852.33 : x
  2. Step 2: Convert to fraction form
    214,404.94/295,781.79 = 133,852.33/x
  3. Step 3: Cross multiply
    214,404.94x = 295,781.79 × 133,852.33
  4. Step 4: Simplify right side
    214,404.94x = 39,591,081,763.07
  5. Step 5: Solve for x
    x = 39,591,081,763.07/214,404.94
  6. Step 6: Final answer
    x = 184,655.64

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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.