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Finding the Fourth Proportional to 180,264.56, 248,766.73 and 99,697.64

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Solution

The fourth proportional to 180,264.56, 248,766.73 and 99,697.64 is: 137,583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,264.56 : 248,766.73 = 99,697.64 : x
  2. Step 2: Convert to fraction form
    180,264.56/248,766.73 = 99,697.64/x
  3. Step 3: Cross multiply
    180,264.56x = 248,766.73 × 99,697.64
  4. Step 4: Simplify right side
    180,264.56x = 24,801,454,398.44
  5. Step 5: Solve for x
    x = 24,801,454,398.44/180,264.56
  6. Step 6: Final answer
    x = 137,583.64

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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.