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Finding the Fourth Proportional to 213,645.94, 320,370.10 and 78,675.92

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Solution

The fourth proportional to 213,645.94, 320,370.10 and 78,675.92 is: 117,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,645.94 : 320,370.10 = 78,675.92 : x
  2. Step 2: Convert to fraction form
    213,645.94/320,370.10 = 78,675.92/x
  3. Step 3: Cross multiply
    213,645.94x = 320,370.10 × 78,675.92
  4. Step 4: Simplify right side
    213,645.94x = 25,205,412,357.99
  5. Step 5: Solve for x
    x = 25,205,412,357.99/213,645.94
  6. Step 6: Final answer
    x = 117,977.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.