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Finding the Fourth Proportional to 176,099.31, 264,144.21 and 49,748.27

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Solution

The fourth proportional to 176,099.31, 264,144.21 and 49,748.27 is: 74,621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,099.31 : 264,144.21 = 49,748.27 : x
  2. Step 2: Convert to fraction form
    176,099.31/264,144.21 = 49,748.27/x
  3. Step 3: Cross multiply
    176,099.31x = 264,144.21 × 49,748.27
  4. Step 4: Simplify right side
    176,099.31x = 13,140,716,157.30
  5. Step 5: Solve for x
    x = 13,140,716,157.30/176,099.31
  6. Step 6: Final answer
    x = 74,621.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.