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Finding the Fourth Proportional to 137,940.39, 190,368.77 and 77,513.85

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Solution

The fourth proportional to 137,940.39, 190,368.77 and 77,513.85 is: 106,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,940.39 : 190,368.77 = 77,513.85 : x
  2. Step 2: Convert to fraction form
    137,940.39/190,368.77 = 77,513.85/x
  3. Step 3: Cross multiply
    137,940.39x = 190,368.77 × 77,513.85
  4. Step 4: Simplify right side
    137,940.39x = 14,756,215,894.90
  5. Step 5: Solve for x
    x = 14,756,215,894.90/137,940.39
  6. Step 6: Final answer
    x = 106,975.31

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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.