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Finding the Fourth Proportional to 262,851.30, 394,276.95 and 94,452.30

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Solution

The fourth proportional to 262,851.30, 394,276.95 and 94,452.30 is: 141,678.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,851.30 : 394,276.95 = 94,452.30 : x
  2. Step 2: Convert to fraction form
    262,851.30/394,276.95 = 94,452.30/x
  3. Step 3: Cross multiply
    262,851.30x = 394,276.95 × 94,452.30
  4. Step 4: Simplify right side
    262,851.30x = 37,240,364,764.49
  5. Step 5: Solve for x
    x = 37,240,364,764.49/262,851.30
  6. Step 6: Final answer
    x = 141,678.45

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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.