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Finding the Fourth Proportional to 281,897.02, 422,907.72 and 82,233.04

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Solution

The fourth proportional to 281,897.02, 422,907.72 and 82,233.04 is: 123,367.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,897.02 : 422,907.72 = 82,233.04 : x
  2. Step 2: Convert to fraction form
    281,897.02/422,907.72 = 82,233.04/x
  3. Step 3: Cross multiply
    281,897.02x = 422,907.72 × 82,233.04
  4. Step 4: Simplify right side
    281,897.02x = 34,776,987,455.07
  5. Step 5: Solve for x
    x = 34,776,987,455.07/281,897.02
  6. Step 6: Final answer
    x = 123,367.70

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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.