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Finding the Fourth Proportional to 264,706.52, 397,133.89 and 107,045.69

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Solution

The fourth proportional to 264,706.52, 397,133.89 and 107,045.69 is: 160,598.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,706.52 : 397,133.89 = 107,045.69 : x
  2. Step 2: Convert to fraction form
    264,706.52/397,133.89 = 107,045.69/x
  3. Step 3: Cross multiply
    264,706.52x = 397,133.89 × 107,045.69
  4. Step 4: Simplify right side
    264,706.52x = 42,511,469,024.15
  5. Step 5: Solve for x
    x = 42,511,469,024.15/264,706.52
  6. Step 6: Final answer
    x = 160,598.50

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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.