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Finding the Fourth Proportional to 150,108.30, 224,615.70 and 110,742.30

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Solution

The fourth proportional to 150,108.30, 224,615.70 and 110,742.30 is: 165,710.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,108.30 : 224,615.70 = 110,742.30 : x
  2. Step 2: Convert to fraction form
    150,108.30/224,615.70 = 110,742.30/x
  3. Step 3: Cross multiply
    150,108.30x = 224,615.70 × 110,742.30
  4. Step 4: Simplify right side
    150,108.30x = 24,874,459,234.11
  5. Step 5: Solve for x
    x = 24,874,459,234.11/150,108.30
  6. Step 6: Final answer
    x = 165,710.09

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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.