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Finding the Fourth Proportional to 264,829.50, 397,247.90 and 146,731.50

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Solution

The fourth proportional to 264,829.50, 397,247.90 and 146,731.50 is: 220,099.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,829.50 : 397,247.90 = 146,731.50 : x
  2. Step 2: Convert to fraction form
    264,829.50/397,247.90 = 146,731.50/x
  3. Step 3: Cross multiply
    264,829.50x = 397,247.90 × 146,731.50
  4. Step 4: Simplify right side
    264,829.50x = 58,288,779,505.19
  5. Step 5: Solve for x
    x = 58,288,779,505.19/264,829.50
  6. Step 6: Final answer
    x = 220,099.27

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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.