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Finding the Fourth Proportional to 329,205.54, 493,841.21 and 89,323.26

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Solution

The fourth proportional to 329,205.54, 493,841.21 and 89,323.26 is: 133,993.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,205.54 : 493,841.21 = 89,323.26 : x
  2. Step 2: Convert to fraction form
    329,205.54/493,841.21 = 89,323.26/x
  3. Step 3: Cross multiply
    329,205.54x = 493,841.21 × 89,323.26
  4. Step 4: Simplify right side
    329,205.54x = 44,111,504,501.02
  5. Step 5: Solve for x
    x = 44,111,504,501.02/329,205.54
  6. Step 6: Final answer
    x = 133,993.81

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Why These Related Problems?

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