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Finding the Fourth Proportional to 180,493.44, 249,150.72 and 161,597.76

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Solution

The fourth proportional to 180,493.44, 249,150.72 and 161,597.76 is: 223,067.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,493.44 : 249,150.72 = 161,597.76 : x
  2. Step 2: Convert to fraction form
    180,493.44/249,150.72 = 161,597.76/x
  3. Step 3: Cross multiply
    180,493.44x = 249,150.72 × 161,597.76
  4. Step 4: Simplify right side
    180,493.44x = 40,262,198,254.39
  5. Step 5: Solve for x
    x = 40,262,198,254.39/180,493.44
  6. Step 6: Final answer
    x = 223,067.38

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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.