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Finding the Fourth Proportional to 213,609.78, 320,446.52 and 78,663.47

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Solution

The fourth proportional to 213,609.78, 320,446.52 and 78,663.47 is: 118,006.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,609.78 : 320,446.52 = 78,663.47 : x
  2. Step 2: Convert to fraction form
    213,609.78/320,446.52 = 78,663.47/x
  3. Step 3: Cross multiply
    213,609.78x = 320,446.52 × 78,663.47
  4. Step 4: Simplify right side
    213,609.78x = 25,207,435,212.62
  5. Step 5: Solve for x
    x = 25,207,435,212.62/213,609.78
  6. Step 6: Final answer
    x = 118,006.93

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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.