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Finding the Fourth Proportional to 128,201.96, 192,280.73 and 34,685.84

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Solution

The fourth proportional to 128,201.96, 192,280.73 and 34,685.84 is: 52,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,201.96 : 192,280.73 = 34,685.84 : x
  2. Step 2: Convert to fraction form
    128,201.96/192,280.73 = 34,685.84/x
  3. Step 3: Cross multiply
    128,201.96x = 192,280.73 × 34,685.84
  4. Step 4: Simplify right side
    128,201.96x = 6,669,417,501.03
  5. Step 5: Solve for x
    x = 6,669,417,501.03/128,201.96
  6. Step 6: Final answer
    x = 52,022.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.