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Finding the Fourth Proportional to 274,216.19, 411,323.47 and 96,680.39

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Solution

The fourth proportional to 274,216.19, 411,323.47 and 96,680.39 is: 145,020.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,216.19 : 411,323.47 = 96,680.39 : x
  2. Step 2: Convert to fraction form
    274,216.19/411,323.47 = 96,680.39/x
  3. Step 3: Cross multiply
    274,216.19x = 411,323.47 × 96,680.39
  4. Step 4: Simplify right side
    274,216.19x = 39,766,913,495.75
  5. Step 5: Solve for x
    x = 39,766,913,495.75/274,216.19
  6. Step 6: Final answer
    x = 145,020.30

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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.