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Finding the Fourth Proportional to 264,866.56, 397,549.52 and 96,549.57

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Solution

The fourth proportional to 264,866.56, 397,549.52 and 96,549.57 is: 144,915.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,866.56 : 397,549.52 = 96,549.57 : x
  2. Step 2: Convert to fraction form
    264,866.56/397,549.52 = 96,549.57/x
  3. Step 3: Cross multiply
    264,866.56x = 397,549.52 × 96,549.57
  4. Step 4: Simplify right side
    264,866.56x = 38,383,235,089.02
  5. Step 5: Solve for x
    x = 38,383,235,089.02/264,866.56
  6. Step 6: Final answer
    x = 144,915.37

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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.