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Finding the Fourth Proportional to 281,604.48, 422,051.94 and 201,223.73

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Solution

The fourth proportional to 281,604.48, 422,051.94 and 201,223.73 is: 301,582.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,604.48 : 422,051.94 = 201,223.73 : x
  2. Step 2: Convert to fraction form
    281,604.48/422,051.94 = 201,223.73/x
  3. Step 3: Cross multiply
    281,604.48x = 422,051.94 × 201,223.73
  4. Step 4: Simplify right side
    281,604.48x = 84,926,863,510.28
  5. Step 5: Solve for x
    x = 84,926,863,510.28/281,604.48
  6. Step 6: Final answer
    x = 301,582.08

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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.