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Finding the Fourth Proportional to 180,532, 249,076.56 and 116,918.56

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Solution

The fourth proportional to 180,532, 249,076.56 and 116,918.56 is: 161,310.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,532 : 249,076.56 = 116,918.56 : x
  2. Step 2: Convert to fraction form
    180,532/249,076.56 = 116,918.56/x
  3. Step 3: Cross multiply
    180,532x = 249,076.56 × 116,918.56
  4. Step 4: Simplify right side
    180,532x = 29,121,672,724.95
  5. Step 5: Solve for x
    x = 29,121,672,724.95/180,532
  6. Step 6: Final answer
    x = 161,310.31

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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.