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Finding the Fourth Proportional to 201,266.70, 301,554.45 and 106,356.30

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Solution

The fourth proportional to 201,266.70, 301,554.45 and 106,356.30 is: 159,351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,266.70 : 301,554.45 = 106,356.30 : x
  2. Step 2: Convert to fraction form
    201,266.70/301,554.45 = 106,356.30/x
  3. Step 3: Cross multiply
    201,266.70x = 301,554.45 × 106,356.30
  4. Step 4: Simplify right side
    201,266.70x = 32,072,215,550.54
  5. Step 5: Solve for x
    x = 32,072,215,550.54/201,266.70
  6. Step 6: Final answer
    x = 159,351.82

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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.