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Finding the Fourth Proportional to 264,696.57, 397,059.99 and 75,142.11

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Solution

The fourth proportional to 264,696.57, 397,059.99 and 75,142.11 is: 112,717.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,696.57 : 397,059.99 = 75,142.11 : x
  2. Step 2: Convert to fraction form
    264,696.57/397,059.99 = 75,142.11/x
  3. Step 3: Cross multiply
    264,696.57x = 397,059.99 × 75,142.11
  4. Step 4: Simplify right side
    264,696.57x = 29,835,925,445.18
  5. Step 5: Solve for x
    x = 29,835,925,445.18/264,696.57
  6. Step 6: Final answer
    x = 112,717.46

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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.