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Finding the Fourth Proportional to 161,478.08, 242,271.50 and 71,508.49

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Solution

The fourth proportional to 161,478.08, 242,271.50 and 71,508.49 is: 107,286.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,478.08 : 242,271.50 = 71,508.49 : x
  2. Step 2: Convert to fraction form
    161,478.08/242,271.50 = 71,508.49/x
  3. Step 3: Cross multiply
    161,478.08x = 242,271.50 × 71,508.49
  4. Step 4: Simplify right side
    161,478.08x = 17,324,470,027.63
  5. Step 5: Solve for x
    x = 17,324,470,027.63/161,478.08
  6. Step 6: Final answer
    x = 107,286.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.