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Finding the Fourth Proportional to 137,776.66, 190,142.77 and 77,351.26

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Solution

The fourth proportional to 137,776.66, 190,142.77 and 77,351.26 is: 106,750.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,776.66 : 190,142.77 = 77,351.26 : x
  2. Step 2: Convert to fraction form
    137,776.66/190,142.77 = 77,351.26/x
  3. Step 3: Cross multiply
    137,776.66x = 190,142.77 × 77,351.26
  4. Step 4: Simplify right side
    137,776.66x = 14,707,782,839.39
  5. Step 5: Solve for x
    x = 14,707,782,839.39/137,776.66
  6. Step 6: Final answer
    x = 106,750.90

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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.