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Finding the Fourth Proportional to 154,822.20, 213,671.34 and 87,747

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Solution

The fourth proportional to 154,822.20, 213,671.34 and 87,747 is: 121,100.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,822.20 : 213,671.34 = 87,747 : x
  2. Step 2: Convert to fraction form
    154,822.20/213,671.34 = 87,747/x
  3. Step 3: Cross multiply
    154,822.20x = 213,671.34 × 87,747
  4. Step 4: Simplify right side
    154,822.20x = 18,749,019,070.98
  5. Step 5: Solve for x
    x = 18,749,019,070.98/154,822.20
  6. Step 6: Final answer
    x = 121,100.33

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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.