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Finding the Fourth Proportional to 201,042.45, 301,563.68 and 53,298.45

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Solution

The fourth proportional to 201,042.45, 301,563.68 and 53,298.45 is: 79,947.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,042.45 : 301,563.68 = 53,298.45 : x
  2. Step 2: Convert to fraction form
    201,042.45/301,563.68 = 53,298.45/x
  3. Step 3: Cross multiply
    201,042.45x = 301,563.68 × 53,298.45
  4. Step 4: Simplify right side
    201,042.45x = 16,072,876,453.80
  5. Step 5: Solve for x
    x = 16,072,876,453.80/201,042.45
  6. Step 6: Final answer
    x = 79,947.68

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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.