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Finding the Fourth Proportional to 140,113, 193,355.96 and 89,812.12

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Solution

The fourth proportional to 140,113, 193,355.96 and 89,812.12 is: 123,940.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,113 : 193,355.96 = 89,812.12 : x
  2. Step 2: Convert to fraction form
    140,113/193,355.96 = 89,812.12/x
  3. Step 3: Cross multiply
    140,113x = 193,355.96 × 89,812.12
  4. Step 4: Simplify right side
    140,113x = 17,365,708,682.24
  5. Step 5: Solve for x
    x = 17,365,708,682.24/140,113
  6. Step 6: Final answer
    x = 123,940.74

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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.