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Finding the Fourth Proportional to 236,202, 325,971.72 and 135,606.48

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Solution

The fourth proportional to 236,202, 325,971.72 and 135,606.48 is: 187,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,202 : 325,971.72 = 135,606.48 : x
  2. Step 2: Convert to fraction form
    236,202/325,971.72 = 135,606.48/x
  3. Step 3: Cross multiply
    236,202x = 325,971.72 × 135,606.48
  4. Step 4: Simplify right side
    236,202x = 44,203,877,528.75
  5. Step 5: Solve for x
    x = 44,203,877,528.75/236,202
  6. Step 6: Final answer
    x = 187,144.38

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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.