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Finding the Fourth Proportional to 321,497.69, 482,246.53 and 111,020.81

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Solution

The fourth proportional to 321,497.69, 482,246.53 and 111,020.81 is: 166,531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,497.69 : 482,246.53 = 111,020.81 : x
  2. Step 2: Convert to fraction form
    321,497.69/482,246.53 = 111,020.81/x
  3. Step 3: Cross multiply
    321,497.69x = 482,246.53 × 111,020.81
  4. Step 4: Simplify right side
    321,497.69x = 53,539,397,691.50
  5. Step 5: Solve for x
    x = 53,539,397,691.50/321,497.69
  6. Step 6: Final answer
    x = 166,531.21

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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.