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Finding the Fourth Proportional to 78,092.15, 117,137.19 and 18,928.34

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Solution

The fourth proportional to 78,092.15, 117,137.19 and 18,928.34 is: 28,392.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,092.15 : 117,137.19 = 18,928.34 : x
  2. Step 2: Convert to fraction form
    78,092.15/117,137.19 = 18,928.34/x
  3. Step 3: Cross multiply
    78,092.15x = 117,137.19 × 18,928.34
  4. Step 4: Simplify right side
    78,092.15x = 2,217,211,973.28
  5. Step 5: Solve for x
    x = 2,217,211,973.28/78,092.15
  6. Step 6: Final answer
    x = 28,392.25

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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.