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Finding the Fourth Proportional to 262,994.22, 362,933.68 and 142,135.22

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Solution

The fourth proportional to 262,994.22, 362,933.68 and 142,135.22 is: 196,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,994.22 : 362,933.68 = 142,135.22 : x
  2. Step 2: Convert to fraction form
    262,994.22/362,933.68 = 142,135.22/x
  3. Step 3: Cross multiply
    262,994.22x = 362,933.68 × 142,135.22
  4. Step 4: Simplify right side
    262,994.22x = 51,585,658,452.21
  5. Step 5: Solve for x
    x = 51,585,658,452.21/262,994.22
  6. Step 6: Final answer
    x = 196,147.50

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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.