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Finding the Fourth Proportional to 140,443.96, 193,813.36 and 76,781.76

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Solution

The fourth proportional to 140,443.96, 193,813.36 and 76,781.76 is: 105,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,443.96 : 193,813.36 = 76,781.76 : x
  2. Step 2: Convert to fraction form
    140,443.96/193,813.36 = 76,781.76/x
  3. Step 3: Cross multiply
    140,443.96x = 193,813.36 × 76,781.76
  4. Step 4: Simplify right side
    140,443.96x = 14,881,330,892.31
  5. Step 5: Solve for x
    x = 14,881,330,892.31/140,443.96
  6. Step 6: Final answer
    x = 105,959.21

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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.