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Finding the Fourth Proportional to 120,156.50, 180,245.00 and 31,409.86

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Solution

The fourth proportional to 120,156.50, 180,245.00 and 31,409.86 is: 47,117.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,156.50 : 180,245.00 = 31,409.86 : x
  2. Step 2: Convert to fraction form
    120,156.50/180,245.00 = 31,409.86/x
  3. Step 3: Cross multiply
    120,156.50x = 180,245.00 × 31,409.86
  4. Step 4: Simplify right side
    120,156.50x = 5,661,470,004.89
  5. Step 5: Solve for x
    x = 5,661,470,004.89/120,156.50
  6. Step 6: Final answer
    x = 47,117.47

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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.