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Finding the Fourth Proportional to 201,406.51, 302,134.38 and 68,324.84

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Solution

The fourth proportional to 201,406.51, 302,134.38 and 68,324.84 is: 102,495.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,406.51 : 302,134.38 = 68,324.84 : x
  2. Step 2: Convert to fraction form
    201,406.51/302,134.38 = 68,324.84/x
  3. Step 3: Cross multiply
    201,406.51x = 302,134.38 × 68,324.84
  4. Step 4: Simplify right side
    201,406.51x = 20,643,283,172.00
  5. Step 5: Solve for x
    x = 20,643,283,172.00/201,406.51
  6. Step 6: Final answer
    x = 102,495.61

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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.