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Finding the Fourth Proportional to 78,261.78, 117,401.94 and 28,365.42

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Solution

The fourth proportional to 78,261.78, 117,401.94 and 28,365.42 is: 42,551.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,261.78 : 117,401.94 = 28,365.42 : x
  2. Step 2: Convert to fraction form
    78,261.78/117,401.94 = 28,365.42/x
  3. Step 3: Cross multiply
    78,261.78x = 117,401.94 × 28,365.42
  4. Step 4: Simplify right side
    78,261.78x = 3,330,155,336.91
  5. Step 5: Solve for x
    x = 3,330,155,336.91/78,261.78
  6. Step 6: Final answer
    x = 42,551.49

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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.