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Finding the Fourth Proportional to 140,095.40, 193,321.62 and 76,431.80

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Solution

The fourth proportional to 140,095.40, 193,321.62 and 76,431.80 is: 105,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,095.40 : 193,321.62 = 76,431.80 : x
  2. Step 2: Convert to fraction form
    140,095.40/193,321.62 = 76,431.80/x
  3. Step 3: Cross multiply
    140,095.40x = 193,321.62 × 76,431.80
  4. Step 4: Simplify right side
    140,095.40x = 14,775,919,395.52
  5. Step 5: Solve for x
    x = 14,775,919,395.52/140,095.40
  6. Step 6: Final answer
    x = 105,470.41

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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.