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Finding the Fourth Proportional to 180,654.69, 249,296.37 and 100,083.48

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Solution

The fourth proportional to 180,654.69, 249,296.37 and 100,083.48 is: 138,111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,654.69 : 249,296.37 = 100,083.48 : x
  2. Step 2: Convert to fraction form
    180,654.69/249,296.37 = 100,083.48/x
  3. Step 3: Cross multiply
    180,654.69x = 249,296.37 × 100,083.48
  4. Step 4: Simplify right side
    180,654.69x = 24,950,448,260.97
  5. Step 5: Solve for x
    x = 24,950,448,260.97/180,654.69
  6. Step 6: Final answer
    x = 138,111.27

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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.