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Finding the Fourth Proportional to 122,762.25, 184,142.87 and 34,015.50

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Solution

The fourth proportional to 122,762.25, 184,142.87 and 34,015.50 is: 51,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,762.25 : 184,142.87 = 34,015.50 : x
  2. Step 2: Convert to fraction form
    122,762.25/184,142.87 = 34,015.50/x
  3. Step 3: Cross multiply
    122,762.25x = 184,142.87 × 34,015.50
  4. Step 4: Simplify right side
    122,762.25x = 6,263,711,624.41
  5. Step 5: Solve for x
    x = 6,263,711,624.41/122,762.25
  6. Step 6: Final answer
    x = 51,023.11

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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.