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Finding the Fourth Proportional to 180,363.76, 270,087.96 and 108,271.81

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Solution

The fourth proportional to 180,363.76, 270,087.96 and 108,271.81 is: 162,132.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,363.76 : 270,087.96 = 108,271.81 : x
  2. Step 2: Convert to fraction form
    180,363.76/270,087.96 = 108,271.81/x
  3. Step 3: Cross multiply
    180,363.76x = 270,087.96 × 108,271.81
  4. Step 4: Simplify right side
    180,363.76x = 29,242,912,288.41
  5. Step 5: Solve for x
    x = 29,242,912,288.41/180,363.76
  6. Step 6: Final answer
    x = 162,132.98

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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.