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Finding the Fourth Proportional to 180,205.52, 248,415.92 and 154,588.46

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Solution

The fourth proportional to 180,205.52, 248,415.92 and 154,588.46 is: 213,102.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,205.52 : 248,415.92 = 154,588.46 : x
  2. Step 2: Convert to fraction form
    180,205.52/248,415.92 = 154,588.46/x
  3. Step 3: Cross multiply
    180,205.52x = 248,415.92 × 154,588.46
  4. Step 4: Simplify right side
    180,205.52x = 38,402,234,512.28
  5. Step 5: Solve for x
    x = 38,402,234,512.28/180,205.52
  6. Step 6: Final answer
    x = 213,102.43

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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.