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Finding the Fourth Proportional to 180,966.96, 249,734.70 and 100,394.49

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Solution

The fourth proportional to 180,966.96, 249,734.70 and 100,394.49 is: 138,544.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,966.96 : 249,734.70 = 100,394.49 : x
  2. Step 2: Convert to fraction form
    180,966.96/249,734.70 = 100,394.49/x
  3. Step 3: Cross multiply
    180,966.96x = 249,734.70 × 100,394.49
  4. Step 4: Simplify right side
    180,966.96x = 25,071,987,841.80
  5. Step 5: Solve for x
    x = 25,071,987,841.80/180,966.96
  6. Step 6: Final answer
    x = 138,544.56

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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.