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Finding the Fourth Proportional to 214,421.94, 295,805.25 and 133,869.33

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Solution

The fourth proportional to 214,421.94, 295,805.25 and 133,869.33 is: 184,679.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,421.94 : 295,805.25 = 133,869.33 : x
  2. Step 2: Convert to fraction form
    214,421.94/295,805.25 = 133,869.33/x
  3. Step 3: Cross multiply
    214,421.94x = 295,805.25 × 133,869.33
  4. Step 4: Simplify right side
    214,421.94x = 39,599,250,627.98
  5. Step 5: Solve for x
    x = 39,599,250,627.98/214,421.94
  6. Step 6: Final answer
    x = 184,679.10

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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.