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Finding the Fourth Proportional to 202,297.70, 303,774.60 and 146,529.20

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Solution

The fourth proportional to 202,297.70, 303,774.60 and 146,529.20 is: 220,031.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,297.70 : 303,774.60 = 146,529.20 : x
  2. Step 2: Convert to fraction form
    202,297.70/303,774.60 = 146,529.20/x
  3. Step 3: Cross multiply
    202,297.70x = 303,774.60 × 146,529.20
  4. Step 4: Simplify right side
    202,297.70x = 44,511,849,118.32
  5. Step 5: Solve for x
    x = 44,511,849,118.32/202,297.70
  6. Step 6: Final answer
    x = 220,031.41

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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.