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Finding the Fourth Proportional to 132,135.84, 198,259.36 and 82,257.68

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Solution

The fourth proportional to 132,135.84, 198,259.36 and 82,257.68 is: 123,421.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,135.84 : 198,259.36 = 82,257.68 : x
  2. Step 2: Convert to fraction form
    132,135.84/198,259.36 = 82,257.68/x
  3. Step 3: Cross multiply
    132,135.84x = 198,259.36 × 82,257.68
  4. Step 4: Simplify right side
    132,135.84x = 16,308,354,991.88
  5. Step 5: Solve for x
    x = 16,308,354,991.88/132,135.84
  6. Step 6: Final answer
    x = 123,421.13

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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.