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Finding the Fourth Proportional to 262,296.68, 393,442.46 and 75,307.88

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Solution

The fourth proportional to 262,296.68, 393,442.46 and 75,307.88 is: 112,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,296.68 : 393,442.46 = 75,307.88 : x
  2. Step 2: Convert to fraction form
    262,296.68/393,442.46 = 75,307.88/x
  3. Step 3: Cross multiply
    262,296.68x = 393,442.46 × 75,307.88
  4. Step 4: Simplify right side
    262,296.68x = 29,629,317,564.58
  5. Step 5: Solve for x
    x = 29,629,317,564.58/262,296.68
  6. Step 6: Final answer
    x = 112,961.08

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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.