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Finding the Fourth Proportional to 78,125.36, 117,178.74 and 20,418.80

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Solution

The fourth proportional to 78,125.36, 117,178.74 and 20,418.80 is: 30,625.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,125.36 : 117,178.74 = 20,418.80 : x
  2. Step 2: Convert to fraction form
    78,125.36/117,178.74 = 20,418.80/x
  3. Step 3: Cross multiply
    78,125.36x = 117,178.74 × 20,418.80
  4. Step 4: Simplify right side
    78,125.36x = 2,392,649,256.31
  5. Step 5: Solve for x
    x = 2,392,649,256.31/78,125.36
  6. Step 6: Final answer
    x = 30,625.77

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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.