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Finding the Fourth Proportional to 217,052.70, 325,579.05 and 146,193.90

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Solution

The fourth proportional to 217,052.70, 325,579.05 and 146,193.90 is: 219,290.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,052.70 : 325,579.05 = 146,193.90 : x
  2. Step 2: Convert to fraction form
    217,052.70/325,579.05 = 146,193.90/x
  3. Step 3: Cross multiply
    217,052.70x = 325,579.05 × 146,193.90
  4. Step 4: Simplify right side
    217,052.70x = 47,597,671,077.80
  5. Step 5: Solve for x
    x = 47,597,671,077.80/217,052.70
  6. Step 6: Final answer
    x = 219,290.85

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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.