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Finding the Fourth Proportional to 140,097.68, 193,335.44 and 76,436.80

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Solution

The fourth proportional to 140,097.68, 193,335.44 and 76,436.80 is: 105,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,097.68 : 193,335.44 = 76,436.80 : x
  2. Step 2: Convert to fraction form
    140,097.68/193,335.44 = 76,436.80/x
  3. Step 3: Cross multiply
    140,097.68x = 193,335.44 × 76,436.80
  4. Step 4: Simplify right side
    140,097.68x = 14,777,942,360.19
  5. Step 5: Solve for x
    x = 14,777,942,360.19/140,097.68
  6. Step 6: Final answer
    x = 105,483.13

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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.