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Finding the Fourth Proportional to 264,707.10, 397,059.64 and 75,167.47

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Solution

The fourth proportional to 264,707.10, 397,059.64 and 75,167.47 is: 112,750.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,707.10 : 397,059.64 = 75,167.47 : x
  2. Step 2: Convert to fraction form
    264,707.10/397,059.64 = 75,167.47/x
  3. Step 3: Cross multiply
    264,707.10x = 397,059.64 × 75,167.47
  4. Step 4: Simplify right side
    264,707.10x = 29,845,968,577.91
  5. Step 5: Solve for x
    x = 29,845,968,577.91/264,707.10
  6. Step 6: Final answer
    x = 112,750.92

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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.