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Finding the Fourth Proportional to 137,893.12, 190,292.40 and 78,277.12

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Solution

The fourth proportional to 137,893.12, 190,292.40 and 78,277.12 is: 108,022.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,893.12 : 190,292.40 = 78,277.12 : x
  2. Step 2: Convert to fraction form
    137,893.12/190,292.40 = 78,277.12/x
  3. Step 3: Cross multiply
    137,893.12x = 190,292.40 × 78,277.12
  4. Step 4: Simplify right side
    137,893.12x = 14,895,541,029.89
  5. Step 5: Solve for x
    x = 14,895,541,029.89/137,893.12
  6. Step 6: Final answer
    x = 108,022.37

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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.