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Finding the Fourth Proportional to 156,138, 234,206.60 and 120,650.92

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Solution

The fourth proportional to 156,138, 234,206.60 and 120,650.92 is: 180,976.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,138 : 234,206.60 = 120,650.92 : x
  2. Step 2: Convert to fraction form
    156,138/234,206.60 = 120,650.92/x
  3. Step 3: Cross multiply
    156,138x = 234,206.60 × 120,650.92
  4. Step 4: Simplify right side
    156,138x = 28,257,241,760.07
  5. Step 5: Solve for x
    x = 28,257,241,760.07/156,138
  6. Step 6: Final answer
    x = 180,976.07

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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.