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Finding the Fourth Proportional to 136,357.20, 204,452.28 and 53,154

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Solution

The fourth proportional to 136,357.20, 204,452.28 and 53,154 is: 79,698.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,357.20 : 204,452.28 = 53,154 : x
  2. Step 2: Convert to fraction form
    136,357.20/204,452.28 = 53,154/x
  3. Step 3: Cross multiply
    136,357.20x = 204,452.28 × 53,154
  4. Step 4: Simplify right side
    136,357.20x = 10,867,456,491.12
  5. Step 5: Solve for x
    x = 10,867,456,491.12/136,357.20
  6. Step 6: Final answer
    x = 79,698.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.