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Finding the Fourth Proportional to 329,140.97, 493,806.02 and 136,977.99

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Solution

The fourth proportional to 329,140.97, 493,806.02 and 136,977.99 is: 205,506.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,140.97 : 493,806.02 = 136,977.99 : x
  2. Step 2: Convert to fraction form
    329,140.97/493,806.02 = 136,977.99/x
  3. Step 3: Cross multiply
    329,140.97x = 493,806.02 × 136,977.99
  4. Step 4: Simplify right side
    329,140.97x = 67,640,556,069.50
  5. Step 5: Solve for x
    x = 67,640,556,069.50/329,140.97
  6. Step 6: Final answer
    x = 205,506.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.