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Finding the Fourth Proportional to 180,728.82, 249,394.44 and 100,151.64

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Solution

The fourth proportional to 180,728.82, 249,394.44 and 100,151.64 is: 138,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,728.82 : 249,394.44 = 100,151.64 : x
  2. Step 2: Convert to fraction form
    180,728.82/249,394.44 = 100,151.64/x
  3. Step 3: Cross multiply
    180,728.82x = 249,394.44 × 100,151.64
  4. Step 4: Simplify right side
    180,728.82x = 24,977,262,172.88
  5. Step 5: Solve for x
    x = 24,977,262,172.88/180,728.82
  6. Step 6: Final answer
    x = 138,202.98

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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.