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Finding the Fourth Proportional to 180,874.08, 249,619 and 100,309.32

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Solution

The fourth proportional to 180,874.08, 249,619 and 100,309.32 is: 138,433.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,874.08 : 249,619 = 100,309.32 : x
  2. Step 2: Convert to fraction form
    180,874.08/249,619 = 100,309.32/x
  3. Step 3: Cross multiply
    180,874.08x = 249,619 × 100,309.32
  4. Step 4: Simplify right side
    180,874.08x = 25,039,112,149.08
  5. Step 5: Solve for x
    x = 25,039,112,149.08/180,874.08
  6. Step 6: Final answer
    x = 138,433.94

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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.