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Finding the Fourth Proportional to 263,247, 363,282.30 and 144,015

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Solution

The fourth proportional to 263,247, 363,282.30 and 144,015 is: 198,741.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,247 : 363,282.30 = 144,015 : x
  2. Step 2: Convert to fraction form
    263,247/363,282.30 = 144,015/x
  3. Step 3: Cross multiply
    263,247x = 363,282.30 × 144,015
  4. Step 4: Simplify right side
    263,247x = 52,318,100,434.50
  5. Step 5: Solve for x
    x = 52,318,100,434.50/263,247
  6. Step 6: Final answer
    x = 198,741.49

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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.