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Finding the Fourth Proportional to 201,226.28, 301,836.31 and 51,465.24

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Solution

The fourth proportional to 201,226.28, 301,836.31 and 51,465.24 is: 77,197.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,226.28 : 301,836.31 = 51,465.24 : x
  2. Step 2: Convert to fraction form
    201,226.28/301,836.31 = 51,465.24/x
  3. Step 3: Cross multiply
    201,226.28x = 301,836.31 × 51,465.24
  4. Step 4: Simplify right side
    201,226.28x = 15,534,078,006.20
  5. Step 5: Solve for x
    x = 15,534,078,006.20/201,226.28
  6. Step 6: Final answer
    x = 77,197.07

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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.