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Finding the Fourth Proportional to 321,206.07, 443,245.86 and 177,957.57

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Solution

The fourth proportional to 321,206.07, 443,245.86 and 177,957.57 is: 245,571.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,206.07 : 443,245.86 = 177,957.57 : x
  2. Step 2: Convert to fraction form
    321,206.07/443,245.86 = 177,957.57/x
  3. Step 3: Cross multiply
    321,206.07x = 443,245.86 × 177,957.57
  4. Step 4: Simplify right side
    321,206.07x = 78,878,956,158.16
  5. Step 5: Solve for x
    x = 78,878,956,158.16/321,206.07
  6. Step 6: Final answer
    x = 245,571.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.