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Finding the Fourth Proportional to 120,178.84, 180,254.49 and 31,440.91

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Solution

The fourth proportional to 120,178.84, 180,254.49 and 31,440.91 is: 47,157.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,178.84 : 180,254.49 = 31,440.91 : x
  2. Step 2: Convert to fraction form
    120,178.84/180,254.49 = 31,440.91/x
  3. Step 3: Cross multiply
    120,178.84x = 180,254.49 × 31,440.91
  4. Step 4: Simplify right side
    120,178.84x = 5,667,365,197.19
  5. Step 5: Solve for x
    x = 5,667,365,197.19/120,178.84
  6. Step 6: Final answer
    x = 47,157.76

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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.