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Finding the Fourth Proportional to 137,944, 190,362.92 and 78,328

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Solution

The fourth proportional to 137,944, 190,362.92 and 78,328 is: 108,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,944 : 190,362.92 = 78,328 : x
  2. Step 2: Convert to fraction form
    137,944/190,362.92 = 78,328/x
  3. Step 3: Cross multiply
    137,944x = 190,362.92 × 78,328
  4. Step 4: Simplify right side
    137,944x = 14,910,746,797.76
  5. Step 5: Solve for x
    x = 14,910,746,797.76/137,944
  6. Step 6: Final answer
    x = 108,092.75

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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.