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Finding the Fourth Proportional to 201,463.80, 301,758.30 and 175,219.80

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Solution

The fourth proportional to 201,463.80, 301,758.30 and 175,219.80 is: 262,449.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,463.80 : 301,758.30 = 175,219.80 : x
  2. Step 2: Convert to fraction form
    201,463.80/301,758.30 = 175,219.80/x
  3. Step 3: Cross multiply
    201,463.80x = 301,758.30 × 175,219.80
  4. Step 4: Simplify right side
    201,463.80x = 52,874,028,974.34
  5. Step 5: Solve for x
    x = 52,874,028,974.34/201,463.80
  6. Step 6: Final answer
    x = 262,449.28

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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.