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Finding the Fourth Proportional to 173,871.20, 260,806.80 and 120,216.80

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Solution

The fourth proportional to 173,871.20, 260,806.80 and 120,216.80 is: 180,325.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,871.20 : 260,806.80 = 120,216.80 : x
  2. Step 2: Convert to fraction form
    173,871.20/260,806.80 = 120,216.80/x
  3. Step 3: Cross multiply
    173,871.20x = 260,806.80 × 120,216.80
  4. Step 4: Simplify right side
    173,871.20x = 31,353,358,914.24
  5. Step 5: Solve for x
    x = 31,353,358,914.24/173,871.20
  6. Step 6: Final answer
    x = 180,325.20

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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.