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Finding the Fourth Proportional to 321,901.41, 482,938.23 and 111,539.34

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Solution

The fourth proportional to 321,901.41, 482,938.23 and 111,539.34 is: 167,338.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,901.41 : 482,938.23 = 111,539.34 : x
  2. Step 2: Convert to fraction form
    321,901.41/482,938.23 = 111,539.34/x
  3. Step 3: Cross multiply
    321,901.41x = 482,938.23 × 111,539.34
  4. Step 4: Simplify right side
    321,901.41x = 53,866,611,434.97
  5. Step 5: Solve for x
    x = 53,866,611,434.97/321,901.41
  6. Step 6: Final answer
    x = 167,338.85

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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.