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Finding the Fourth Proportional to 120,412.17, 180,734.90 and 58,126.41

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Solution

The fourth proportional to 120,412.17, 180,734.90 and 58,126.41 is: 87,245.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,412.17 : 180,734.90 = 58,126.41 : x
  2. Step 2: Convert to fraction form
    120,412.17/180,734.90 = 58,126.41/x
  3. Step 3: Cross multiply
    120,412.17x = 180,734.90 × 58,126.41
  4. Step 4: Simplify right side
    120,412.17x = 10,505,470,898.71
  5. Step 5: Solve for x
    x = 10,505,470,898.71/120,412.17
  6. Step 6: Final answer
    x = 87,245.92

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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.