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Finding the Fourth Proportional to 202,996.14, 304,525.00 and 147,256.86

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Solution

The fourth proportional to 202,996.14, 304,525.00 and 147,256.86 is: 220,907.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,996.14 : 304,525.00 = 147,256.86 : x
  2. Step 2: Convert to fraction form
    202,996.14/304,525.00 = 147,256.86/x
  3. Step 3: Cross multiply
    202,996.14x = 304,525.00 × 147,256.86
  4. Step 4: Simplify right side
    202,996.14x = 44,843,395,450.44
  5. Step 5: Solve for x
    x = 44,843,395,450.44/202,996.14
  6. Step 6: Final answer
    x = 220,907.62

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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.