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Finding the Fourth Proportional to 286,891.34, 395,910 and 159,564.20

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Solution

The fourth proportional to 286,891.34, 395,910 and 159,564.20 is: 220,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,891.34 : 395,910 = 159,564.20 : x
  2. Step 2: Convert to fraction form
    286,891.34/395,910 = 159,564.20/x
  3. Step 3: Cross multiply
    286,891.34x = 395,910 × 159,564.20
  4. Step 4: Simplify right side
    286,891.34x = 63,173,060,442.45
  5. Step 5: Solve for x
    x = 63,173,060,442.45/286,891.34
  6. Step 6: Final answer
    x = 220,198.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.