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Finding the Fourth Proportional to 135,289.60, 202,712.74 and 72,042.57

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Solution

The fourth proportional to 135,289.60, 202,712.74 and 72,042.57 is: 107,945.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,289.60 : 202,712.74 = 72,042.57 : x
  2. Step 2: Convert to fraction form
    135,289.60/202,712.74 = 72,042.57/x
  3. Step 3: Cross multiply
    135,289.60x = 202,712.74 × 72,042.57
  4. Step 4: Simplify right side
    135,289.60x = 14,603,946,761.34
  5. Step 5: Solve for x
    x = 14,603,946,761.34/135,289.60
  6. Step 6: Final answer
    x = 107,945.82

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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.