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Finding the Fourth Proportional to 180,855.44, 271,298.28 and 62,478.80

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Solution

The fourth proportional to 180,855.44, 271,298.28 and 62,478.80 is: 93,723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,855.44 : 271,298.28 = 62,478.80 : x
  2. Step 2: Convert to fraction form
    180,855.44/271,298.28 = 62,478.80/x
  3. Step 3: Cross multiply
    180,855.44x = 271,298.28 × 62,478.80
  4. Step 4: Simplify right side
    180,855.44x = 16,950,390,976.46
  5. Step 5: Solve for x
    x = 16,950,390,976.46/180,855.44
  6. Step 6: Final answer
    x = 93,723.42

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Why These Related Problems?

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