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Finding the Fourth Proportional to 137,791.76, 190,137.94 and 77,369

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Solution

The fourth proportional to 137,791.76, 190,137.94 and 77,369 is: 106,760.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,791.76 : 190,137.94 = 77,369 : x
  2. Step 2: Convert to fraction form
    137,791.76/190,137.94 = 77,369/x
  3. Step 3: Cross multiply
    137,791.76x = 190,137.94 × 77,369
  4. Step 4: Simplify right side
    137,791.76x = 14,710,782,279.86
  5. Step 5: Solve for x
    x = 14,710,782,279.86/137,791.76
  6. Step 6: Final answer
    x = 106,760.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.