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Finding the Fourth Proportional to 201,405.64, 302,133.07 and 68,323.96

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Solution

The fourth proportional to 201,405.64, 302,133.07 and 68,323.96 is: 102,494.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,405.64 : 302,133.07 = 68,323.96 : x
  2. Step 2: Convert to fraction form
    201,405.64/302,133.07 = 68,323.96/x
  3. Step 3: Cross multiply
    201,405.64x = 302,133.07 × 68,323.96
  4. Step 4: Simplify right side
    201,405.64x = 20,642,928,373.88
  5. Step 5: Solve for x
    x = 20,642,928,373.88/201,405.64
  6. Step 6: Final answer
    x = 102,494.29

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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.