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Finding the Fourth Proportional to 201,351.64, 302,020.46 and 51,593.16

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Solution

The fourth proportional to 201,351.64, 302,020.46 and 51,593.16 is: 77,387.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,351.64 : 302,020.46 = 51,593.16 : x
  2. Step 2: Convert to fraction form
    201,351.64/302,020.46 = 51,593.16/x
  3. Step 3: Cross multiply
    201,351.64x = 302,020.46 × 51,593.16
  4. Step 4: Simplify right side
    201,351.64x = 15,582,189,916.05
  5. Step 5: Solve for x
    x = 15,582,189,916.05/201,351.64
  6. Step 6: Final answer
    x = 77,387.95

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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.