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Finding the Fourth Proportional to 138,513.12, 191,124 and 81,903.84

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Solution

The fourth proportional to 138,513.12, 191,124 and 81,903.84 is: 113,013.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,513.12 : 191,124 = 81,903.84 : x
  2. Step 2: Convert to fraction form
    138,513.12/191,124 = 81,903.84/x
  3. Step 3: Cross multiply
    138,513.12x = 191,124 × 81,903.84
  4. Step 4: Simplify right side
    138,513.12x = 15,653,789,516.16
  5. Step 5: Solve for x
    x = 15,653,789,516.16/138,513.12
  6. Step 6: Final answer
    x = 113,013.05

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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.