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Finding the Fourth Proportional to 201,816.70, 302,725.05 and 54,072.70

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Solution

The fourth proportional to 201,816.70, 302,725.05 and 54,072.70 is: 81,109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,816.70 : 302,725.05 = 54,072.70 : x
  2. Step 2: Convert to fraction form
    201,816.70/302,725.05 = 54,072.70/x
  3. Step 3: Cross multiply
    201,816.70x = 302,725.05 × 54,072.70
  4. Step 4: Simplify right side
    201,816.70x = 16,369,160,811.14
  5. Step 5: Solve for x
    x = 16,369,160,811.14/201,816.70
  6. Step 6: Final answer
    x = 81,109.05

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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.