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Finding the Fourth Proportional to 263,075.76, 362,958.84 and 160,994.70

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Solution

The fourth proportional to 263,075.76, 362,958.84 and 160,994.70 is: 222,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,075.76 : 362,958.84 = 160,994.70 : x
  2. Step 2: Convert to fraction form
    263,075.76/362,958.84 = 160,994.70/x
  3. Step 3: Cross multiply
    263,075.76x = 362,958.84 × 160,994.70
  4. Step 4: Simplify right side
    263,075.76x = 58,434,449,558.15
  5. Step 5: Solve for x
    x = 58,434,449,558.15/263,075.76
  6. Step 6: Final answer
    x = 222,120.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.