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Finding the Fourth Proportional to 146,863.50, 202,671.63 and 87,247.50

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Solution

The fourth proportional to 146,863.50, 202,671.63 and 87,247.50 is: 120,401.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,863.50 : 202,671.63 = 87,247.50 : x
  2. Step 2: Convert to fraction form
    146,863.50/202,671.63 = 87,247.50/x
  3. Step 3: Cross multiply
    146,863.50x = 202,671.63 × 87,247.50
  4. Step 4: Simplify right side
    146,863.50x = 17,682,593,038.43
  5. Step 5: Solve for x
    x = 17,682,593,038.43/146,863.50
  6. Step 6: Final answer
    x = 120,401.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.