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Finding the Fourth Proportional to 148,963.73, 223,445.64 and 43,782.80

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Solution

The fourth proportional to 148,963.73, 223,445.64 and 43,782.80 is: 65,674.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,963.73 : 223,445.64 = 43,782.80 : x
  2. Step 2: Convert to fraction form
    148,963.73/223,445.64 = 43,782.80/x
  3. Step 3: Cross multiply
    148,963.73x = 223,445.64 × 43,782.80
  4. Step 4: Simplify right side
    148,963.73x = 9,783,075,766.99
  5. Step 5: Solve for x
    x = 9,783,075,766.99/148,963.73
  6. Step 6: Final answer
    x = 65,674.21

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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.