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Finding the Fourth Proportional to 321,157.80, 443,224.98 and 177,962.76

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Solution

The fourth proportional to 321,157.80, 443,224.98 and 177,962.76 is: 245,603.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,157.80 : 443,224.98 = 177,962.76 : x
  2. Step 2: Convert to fraction form
    321,157.80/443,224.98 = 177,962.76/x
  3. Step 3: Cross multiply
    321,157.80x = 443,224.98 × 177,962.76
  4. Step 4: Simplify right side
    321,157.80x = 78,877,540,741.74
  5. Step 5: Solve for x
    x = 78,877,540,741.74/321,157.80
  6. Step 6: Final answer
    x = 245,603.69

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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.