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Finding the Fourth Proportional to 180,902.12, 249,653.25 and 100,324.83

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Solution

The fourth proportional to 180,902.12, 249,653.25 and 100,324.83 is: 138,452.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,902.12 : 249,653.25 = 100,324.83 : x
  2. Step 2: Convert to fraction form
    180,902.12/249,653.25 = 100,324.83/x
  3. Step 3: Cross multiply
    180,902.12x = 249,653.25 × 100,324.83
  4. Step 4: Simplify right side
    180,902.12x = 25,046,419,865.20
  5. Step 5: Solve for x
    x = 25,046,419,865.20/180,902.12
  6. Step 6: Final answer
    x = 138,452.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.