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Finding the Fourth Proportional to 135,638.60, 203,555.10 and 76,411.40

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Solution

The fourth proportional to 135,638.60, 203,555.10 and 76,411.40 is: 114,671.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,638.60 : 203,555.10 = 76,411.40 : x
  2. Step 2: Convert to fraction form
    135,638.60/203,555.10 = 76,411.40/x
  3. Step 3: Cross multiply
    135,638.60x = 203,555.10 × 76,411.40
  4. Step 4: Simplify right side
    135,638.60x = 15,553,930,168.14
  5. Step 5: Solve for x
    x = 15,553,930,168.14/135,638.60
  6. Step 6: Final answer
    x = 114,671.86

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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.