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Finding the Fourth Proportional to 201,612.70, 302,419.05 and 164,287.90

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Solution

The fourth proportional to 201,612.70, 302,419.05 and 164,287.90 is: 246,431.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,612.70 : 302,419.05 = 164,287.90 : x
  2. Step 2: Convert to fraction form
    201,612.70/302,419.05 = 164,287.90/x
  3. Step 3: Cross multiply
    201,612.70x = 302,419.05 × 164,287.90
  4. Step 4: Simplify right side
    201,612.70x = 49,683,790,644.50
  5. Step 5: Solve for x
    x = 49,683,790,644.50/201,612.70
  6. Step 6: Final answer
    x = 246,431.85

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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.