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Finding the Fourth Proportional to 108,902.84, 164,162.31 and 99,443.48

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Solution

The fourth proportional to 108,902.84, 164,162.31 and 99,443.48 is: 149,903.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,902.84 : 164,162.31 = 99,443.48 : x
  2. Step 2: Convert to fraction form
    108,902.84/164,162.31 = 99,443.48/x
  3. Step 3: Cross multiply
    108,902.84x = 164,162.31 × 99,443.48
  4. Step 4: Simplify right side
    108,902.84x = 16,324,871,391.24
  5. Step 5: Solve for x
    x = 16,324,871,391.24/108,902.84
  6. Step 6: Final answer
    x = 149,903.08

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.