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Finding the Fourth Proportional to 262,941.20, 394,411.80 and 94,461.20

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Solution

The fourth proportional to 262,941.20, 394,411.80 and 94,461.20 is: 141,691.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,941.20 : 394,411.80 = 94,461.20 : x
  2. Step 2: Convert to fraction form
    262,941.20/394,411.80 = 94,461.20/x
  3. Step 3: Cross multiply
    262,941.20x = 394,411.80 × 94,461.20
  4. Step 4: Simplify right side
    262,941.20x = 37,256,611,922.16
  5. Step 5: Solve for x
    x = 37,256,611,922.16/262,941.20
  6. Step 6: Final answer
    x = 141,691.80

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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.