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Finding the Fourth Proportional to 180,578.56, 249,179.46 and 100,003.96

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Solution

The fourth proportional to 180,578.56, 249,179.46 and 100,003.96 is: 137,994.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,578.56 : 249,179.46 = 100,003.96 : x
  2. Step 2: Convert to fraction form
    180,578.56/249,179.46 = 100,003.96/x
  3. Step 3: Cross multiply
    180,578.56x = 249,179.46 × 100,003.96
  4. Step 4: Simplify right side
    180,578.56x = 24,918,932,750.66
  5. Step 5: Solve for x
    x = 24,918,932,750.66/180,578.56
  6. Step 6: Final answer
    x = 137,994.97

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Why These Related Problems?

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