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Finding the Fourth Proportional to 262,851.20, 394,276.80 and 157,788.80

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Solution

The fourth proportional to 262,851.20, 394,276.80 and 157,788.80 is: 236,683.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,851.20 : 394,276.80 = 157,788.80 : x
  2. Step 2: Convert to fraction form
    262,851.20/394,276.80 = 157,788.80/x
  3. Step 3: Cross multiply
    262,851.20x = 394,276.80 × 157,788.80
  4. Step 4: Simplify right side
    262,851.20x = 62,212,463,139.84
  5. Step 5: Solve for x
    x = 62,212,463,139.84/262,851.20
  6. Step 6: Final answer
    x = 236,683.20

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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.