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Finding the Fourth Proportional to 120,197.34, 180,282.24 and 31,459.41

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Solution

The fourth proportional to 120,197.34, 180,282.24 and 31,459.41 is: 47,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,197.34 : 180,282.24 = 31,459.41 : x
  2. Step 2: Convert to fraction form
    120,197.34/180,282.24 = 31,459.41/x
  3. Step 3: Cross multiply
    120,197.34x = 180,282.24 × 31,459.41
  4. Step 4: Simplify right side
    120,197.34x = 5,671,572,903.88
  5. Step 5: Solve for x
    x = 5,671,572,903.88/120,197.34
  6. Step 6: Final answer
    x = 47,185.51

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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.