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Finding the Fourth Proportional to 180,745.90, 249,429.36 and 100,178.62

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Solution

The fourth proportional to 180,745.90, 249,429.36 and 100,178.62 is: 138,246.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,745.90 : 249,429.36 = 100,178.62 : x
  2. Step 2: Convert to fraction form
    180,745.90/249,429.36 = 100,178.62/x
  3. Step 3: Cross multiply
    180,745.90x = 249,429.36 × 100,178.62
  4. Step 4: Simplify right side
    180,745.90x = 24,987,489,072.28
  5. Step 5: Solve for x
    x = 24,987,489,072.28/180,745.90
  6. Step 6: Final answer
    x = 138,246.51

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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.