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Finding the Fourth Proportional to 268,826.40, 370,977.50 and 147,965.09

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Solution

The fourth proportional to 268,826.40, 370,977.50 and 147,965.09 is: 204,190.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,826.40 : 370,977.50 = 147,965.09 : x
  2. Step 2: Convert to fraction form
    268,826.40/370,977.50 = 147,965.09/x
  3. Step 3: Cross multiply
    268,826.40x = 370,977.50 × 147,965.09
  4. Step 4: Simplify right side
    268,826.40x = 54,891,716,580.76
  5. Step 5: Solve for x
    x = 54,891,716,580.76/268,826.40
  6. Step 6: Final answer
    x = 204,190.20

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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.