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Finding the Fourth Proportional to 306,747.80, 460,137.30 and 96,387.80

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Solution

The fourth proportional to 306,747.80, 460,137.30 and 96,387.80 is: 144,586.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,747.80 : 460,137.30 = 96,387.80 : x
  2. Step 2: Convert to fraction form
    306,747.80/460,137.30 = 96,387.80/x
  3. Step 3: Cross multiply
    306,747.80x = 460,137.30 × 96,387.80
  4. Step 4: Simplify right side
    306,747.80x = 44,351,622,044.94
  5. Step 5: Solve for x
    x = 44,351,622,044.94/306,747.80
  6. Step 6: Final answer
    x = 144,586.60

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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.