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Finding the Fourth Proportional to 299,130.63, 412,800.26 and 164,994.63

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Solution

The fourth proportional to 299,130.63, 412,800.26 and 164,994.63 is: 227,692.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,130.63 : 412,800.26 = 164,994.63 : x
  2. Step 2: Convert to fraction form
    299,130.63/412,800.26 = 164,994.63/x
  3. Step 3: Cross multiply
    299,130.63x = 412,800.26 × 164,994.63
  4. Step 4: Simplify right side
    299,130.63x = 68,109,826,162.60
  5. Step 5: Solve for x
    x = 68,109,826,162.60/299,130.63
  6. Step 6: Final answer
    x = 227,692.58

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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.