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Finding the Fourth Proportional to 140,172.90, 193,435.52 and 76,511.76

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Solution

The fourth proportional to 140,172.90, 193,435.52 and 76,511.76 is: 105,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,172.90 : 193,435.52 = 76,511.76 : x
  2. Step 2: Convert to fraction form
    140,172.90/193,435.52 = 76,511.76/x
  3. Step 3: Cross multiply
    140,172.90x = 193,435.52 × 76,511.76
  4. Step 4: Simplify right side
    140,172.90x = 14,800,092,081.72
  5. Step 5: Solve for x
    x = 14,800,092,081.72/140,172.90
  6. Step 6: Final answer
    x = 105,584.55

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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.