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Finding the Fourth Proportional to 201,043.20, 301,564.80 and 53,299.20

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Solution

The fourth proportional to 201,043.20, 301,564.80 and 53,299.20 is: 79,948.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,043.20 : 301,564.80 = 53,299.20 : x
  2. Step 2: Convert to fraction form
    201,043.20/301,564.80 = 53,299.20/x
  3. Step 3: Cross multiply
    201,043.20x = 301,564.80 × 53,299.20
  4. Step 4: Simplify right side
    201,043.20x = 16,073,162,588.16
  5. Step 5: Solve for x
    x = 16,073,162,588.16/201,043.20
  6. Step 6: Final answer
    x = 79,948.80

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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.