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Finding the Fourth Proportional to 201,218.70, 301,828.05 and 53,474.70

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Solution

The fourth proportional to 201,218.70, 301,828.05 and 53,474.70 is: 80,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,218.70 : 301,828.05 = 53,474.70 : x
  2. Step 2: Convert to fraction form
    201,218.70/301,828.05 = 53,474.70/x
  3. Step 3: Cross multiply
    201,218.70x = 301,828.05 × 53,474.70
  4. Step 4: Simplify right side
    201,218.70x = 16,140,164,425.34
  5. Step 5: Solve for x
    x = 16,140,164,425.34/201,218.70
  6. Step 6: Final answer
    x = 80,212.05

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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.