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Finding the Fourth Proportional to 173,827.80, 260,439.30 and 80,141.40

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Solution

The fourth proportional to 173,827.80, 260,439.30 and 80,141.40 is: 120,072.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,827.80 : 260,439.30 = 80,141.40 : x
  2. Step 2: Convert to fraction form
    173,827.80/260,439.30 = 80,141.40/x
  3. Step 3: Cross multiply
    173,827.80x = 260,439.30 × 80,141.40
  4. Step 4: Simplify right side
    173,827.80x = 20,871,970,117.02
  5. Step 5: Solve for x
    x = 20,871,970,117.02/173,827.80
  6. Step 6: Final answer
    x = 120,072.68

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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.