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Finding the Fourth Proportional to 262,829.68, 394,102.48 and 82,881.16

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Solution

The fourth proportional to 262,829.68, 394,102.48 and 82,881.16 is: 124,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,829.68 : 394,102.48 = 82,881.16 : x
  2. Step 2: Convert to fraction form
    262,829.68/394,102.48 = 82,881.16/x
  3. Step 3: Cross multiply
    262,829.68x = 394,102.48 × 82,881.16
  4. Step 4: Simplify right side
    262,829.68x = 32,663,670,701.28
  5. Step 5: Solve for x
    x = 32,663,670,701.28/262,829.68
  6. Step 6: Final answer
    x = 124,276.95

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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.