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Finding the Fourth Proportional to 201,608.88, 301,998.48 and 118,302

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Solution

The fourth proportional to 201,608.88, 301,998.48 and 118,302 is: 177,209.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,608.88 : 301,998.48 = 118,302 : x
  2. Step 2: Convert to fraction form
    201,608.88/301,998.48 = 118,302/x
  3. Step 3: Cross multiply
    201,608.88x = 301,998.48 × 118,302
  4. Step 4: Simplify right side
    201,608.88x = 35,727,024,180.96
  5. Step 5: Solve for x
    x = 35,727,024,180.96/201,608.88
  6. Step 6: Final answer
    x = 177,209.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.