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Finding the Fourth Proportional to 180,534, 249,145.49 and 108,912.49

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Solution

The fourth proportional to 180,534, 249,145.49 and 108,912.49 is: 150,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,534 : 249,145.49 = 108,912.49 : x
  2. Step 2: Convert to fraction form
    180,534/249,145.49 = 108,912.49/x
  3. Step 3: Cross multiply
    180,534x = 249,145.49 × 108,912.49
  4. Step 4: Simplify right side
    180,534x = 27,135,055,688.17
  5. Step 5: Solve for x
    x = 27,135,055,688.17/180,534
  6. Step 6: Final answer
    x = 150,304.41

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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.