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Finding the Fourth Proportional to 115,778.70, 173,668.05 and 78,356.70

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Solution

The fourth proportional to 115,778.70, 173,668.05 and 78,356.70 is: 117,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,778.70 : 173,668.05 = 78,356.70 : x
  2. Step 2: Convert to fraction form
    115,778.70/173,668.05 = 78,356.70/x
  3. Step 3: Cross multiply
    115,778.70x = 173,668.05 × 78,356.70
  4. Step 4: Simplify right side
    115,778.70x = 13,608,055,293.44
  5. Step 5: Solve for x
    x = 13,608,055,293.44/115,778.70
  6. Step 6: Final answer
    x = 117,535.05

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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.