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Finding the Fourth Proportional to 321,199.84, 443,250.02 and 177,957

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Solution

The fourth proportional to 321,199.84, 443,250.02 and 177,957 is: 245,577.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,199.84 : 443,250.02 = 177,957 : x
  2. Step 2: Convert to fraction form
    321,199.84/443,250.02 = 177,957/x
  3. Step 3: Cross multiply
    321,199.84x = 443,250.02 × 177,957
  4. Step 4: Simplify right side
    321,199.84x = 78,879,443,809.14
  5. Step 5: Solve for x
    x = 78,879,443,809.14/321,199.84
  6. Step 6: Final answer
    x = 245,577.47

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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.