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Finding the Fourth Proportional to 180,107.28, 248,541.02 and 103,651

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Solution

The fourth proportional to 180,107.28, 248,541.02 and 103,651 is: 143,034.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,107.28 : 248,541.02 = 103,651 : x
  2. Step 2: Convert to fraction form
    180,107.28/248,541.02 = 103,651/x
  3. Step 3: Cross multiply
    180,107.28x = 248,541.02 × 103,651
  4. Step 4: Simplify right side
    180,107.28x = 25,761,525,264.02
  5. Step 5: Solve for x
    x = 25,761,525,264.02/180,107.28
  6. Step 6: Final answer
    x = 143,034.34

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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.