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Finding the Fourth Proportional to 263,393, 363,482.34 and 144,161

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Solution

The fourth proportional to 263,393, 363,482.34 and 144,161 is: 198,942.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,393 : 363,482.34 = 144,161 : x
  2. Step 2: Convert to fraction form
    263,393/363,482.34 = 144,161/x
  3. Step 3: Cross multiply
    263,393x = 363,482.34 × 144,161
  4. Step 4: Simplify right side
    263,393x = 52,399,977,616.74
  5. Step 5: Solve for x
    x = 52,399,977,616.74/263,393
  6. Step 6: Final answer
    x = 198,942.18

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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.