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Finding the Fourth Proportional to 264,706.10, 397,058.14 and 75,166.47

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Solution

The fourth proportional to 264,706.10, 397,058.14 and 75,166.47 is: 112,749.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,706.10 : 397,058.14 = 75,166.47 : x
  2. Step 2: Convert to fraction form
    264,706.10/397,058.14 = 75,166.47/x
  3. Step 3: Cross multiply
    264,706.10x = 397,058.14 × 75,166.47
  4. Step 4: Simplify right side
    264,706.10x = 29,845,458,439.71
  5. Step 5: Solve for x
    x = 29,845,458,439.71/264,706.10
  6. Step 6: Final answer
    x = 112,749.42

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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.