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Finding the Fourth Proportional to 120,412.67, 180,735.65 and 58,126.91

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Solution

The fourth proportional to 120,412.67, 180,735.65 and 58,126.91 is: 87,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,412.67 : 180,735.65 = 58,126.91 : x
  2. Step 2: Convert to fraction form
    120,412.67/180,735.65 = 58,126.91/x
  3. Step 3: Cross multiply
    120,412.67x = 180,735.65 × 58,126.91
  4. Step 4: Simplify right side
    120,412.67x = 10,505,604,861.34
  5. Step 5: Solve for x
    x = 10,505,604,861.34/120,412.67
  6. Step 6: Final answer
    x = 87,246.67

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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.