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Finding the Fourth Proportional to 321,154.74, 443,196.63 and 177,917.82

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Solution

The fourth proportional to 321,154.74, 443,196.63 and 177,917.82 is: 245,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,154.74 : 443,196.63 = 177,917.82 : x
  2. Step 2: Convert to fraction form
    321,154.74/443,196.63 = 177,917.82/x
  3. Step 3: Cross multiply
    321,154.74x = 443,196.63 × 177,917.82
  4. Step 4: Simplify right side
    321,154.74x = 78,852,578,240.95
  5. Step 5: Solve for x
    x = 78,852,578,240.95/321,154.74
  6. Step 6: Final answer
    x = 245,528.30

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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.