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Finding the Fourth Proportional to 307,963.46, 461,946.26 and 94,729.92

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Solution

The fourth proportional to 307,963.46, 461,946.26 and 94,729.92 is: 142,095.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,963.46 : 461,946.26 = 94,729.92 : x
  2. Step 2: Convert to fraction form
    307,963.46/461,946.26 = 94,729.92/x
  3. Step 3: Cross multiply
    307,963.46x = 461,946.26 × 94,729.92
  4. Step 4: Simplify right side
    307,963.46x = 43,760,133,408.96
  5. Step 5: Solve for x
    x = 43,760,133,408.96/307,963.46
  6. Step 6: Final answer
    x = 142,095.21

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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.