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Finding the Fourth Proportional to 137,722.20, 206,583.30 and 44,237.40

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Solution

The fourth proportional to 137,722.20, 206,583.30 and 44,237.40 is: 66,356.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,722.20 : 206,583.30 = 44,237.40 : x
  2. Step 2: Convert to fraction form
    137,722.20/206,583.30 = 44,237.40/x
  3. Step 3: Cross multiply
    137,722.20x = 206,583.30 × 44,237.40
  4. Step 4: Simplify right side
    137,722.20x = 9,138,708,075.42
  5. Step 5: Solve for x
    x = 9,138,708,075.42/137,722.20
  6. Step 6: Final answer
    x = 66,356.10

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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.