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Finding the Fourth Proportional to 175,851.71, 263,500.94 and 135,968.12

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Solution

The fourth proportional to 175,851.71, 263,500.94 and 135,968.12 is: 203,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,851.71 : 263,500.94 = 135,968.12 : x
  2. Step 2: Convert to fraction form
    175,851.71/263,500.94 = 135,968.12/x
  3. Step 3: Cross multiply
    175,851.71x = 263,500.94 × 135,968.12
  4. Step 4: Simplify right side
    175,851.71x = 35,827,725,432.69
  5. Step 5: Solve for x
    x = 35,827,725,432.69/175,851.71
  6. Step 6: Final answer
    x = 203,738.29

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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.