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Finding the Fourth Proportional to 135,138.40, 202,707.58 and 56,340.76

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Solution

The fourth proportional to 135,138.40, 202,707.58 and 56,340.76 is: 84,511.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,138.40 : 202,707.58 = 56,340.76 : x
  2. Step 2: Convert to fraction form
    135,138.40/202,707.58 = 56,340.76/x
  3. Step 3: Cross multiply
    135,138.40x = 202,707.58 × 56,340.76
  4. Step 4: Simplify right side
    135,138.40x = 11,420,699,114.96
  5. Step 5: Solve for x
    x = 11,420,699,114.96/135,138.40
  6. Step 6: Final answer
    x = 84,511.13

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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.