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Finding the Fourth Proportional to 201,782.73, 302,569.01 and 75,318.99

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Solution

The fourth proportional to 201,782.73, 302,569.01 and 75,318.99 is: 112,939.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,782.73 : 302,569.01 = 75,318.99 : x
  2. Step 2: Convert to fraction form
    201,782.73/302,569.01 = 75,318.99/x
  3. Step 3: Cross multiply
    201,782.73x = 302,569.01 × 75,318.99
  4. Step 4: Simplify right side
    201,782.73x = 22,789,192,238.50
  5. Step 5: Solve for x
    x = 22,789,192,238.50/201,782.73
  6. Step 6: Final answer
    x = 112,939.26

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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.