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Finding the Fourth Proportional to 140,645.39, 194,083.16 and 76,970.88

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Solution

The fourth proportional to 140,645.39, 194,083.16 and 76,970.88 is: 106,215.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,645.39 : 194,083.16 = 76,970.88 : x
  2. Step 2: Convert to fraction form
    140,645.39/194,083.16 = 76,970.88/x
  3. Step 3: Cross multiply
    140,645.39x = 194,083.16 × 76,970.88
  4. Step 4: Simplify right side
    140,645.39x = 14,938,751,233.53
  5. Step 5: Solve for x
    x = 14,938,751,233.53/140,645.39
  6. Step 6: Final answer
    x = 106,215.72

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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.