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Finding the Fourth Proportional to 120,277.44, 180,438.84 and 37,152

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Solution

The fourth proportional to 120,277.44, 180,438.84 and 37,152 is: 55,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,277.44 : 180,438.84 = 37,152 : x
  2. Step 2: Convert to fraction form
    120,277.44/180,438.84 = 37,152/x
  3. Step 3: Cross multiply
    120,277.44x = 180,438.84 × 37,152
  4. Step 4: Simplify right side
    120,277.44x = 6,703,663,783.68
  5. Step 5: Solve for x
    x = 6,703,663,783.68/120,277.44
  6. Step 6: Final answer
    x = 55,735.01

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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.