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Finding the Fourth Proportional to 180,165.97, 248,617.19 and 103,672.72

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Solution

The fourth proportional to 180,165.97, 248,617.19 and 103,672.72 is: 143,061.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,165.97 : 248,617.19 = 103,672.72 : x
  2. Step 2: Convert to fraction form
    180,165.97/248,617.19 = 103,672.72/x
  3. Step 3: Cross multiply
    180,165.97x = 248,617.19 × 103,672.72
  4. Step 4: Simplify right side
    180,165.97x = 25,774,819,107.41
  5. Step 5: Solve for x
    x = 25,774,819,107.41/180,165.97
  6. Step 6: Final answer
    x = 143,061.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.