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Finding the Fourth Proportional to 262,977.30, 362,907.81 and 149,819.22

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Solution

The fourth proportional to 262,977.30, 362,907.81 and 149,819.22 is: 206,750.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,977.30 : 362,907.81 = 149,819.22 : x
  2. Step 2: Convert to fraction form
    262,977.30/362,907.81 = 149,819.22/x
  3. Step 3: Cross multiply
    262,977.30x = 362,907.81 × 149,819.22
  4. Step 4: Simplify right side
    262,977.30x = 54,370,565,026.11
  5. Step 5: Solve for x
    x = 54,370,565,026.11/262,977.30
  6. Step 6: Final answer
    x = 206,750.03

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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.