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Finding the Fourth Proportional to 201,356.28, 302,029.56 and 51,593.76

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Solution

The fourth proportional to 201,356.28, 302,029.56 and 51,593.76 is: 77,389.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,356.28 : 302,029.56 = 51,593.76 : x
  2. Step 2: Convert to fraction form
    201,356.28/302,029.56 = 51,593.76/x
  3. Step 3: Cross multiply
    201,356.28x = 302,029.56 × 51,593.76
  4. Step 4: Simplify right side
    201,356.28x = 15,582,840,631.55
  5. Step 5: Solve for x
    x = 15,582,840,631.55/201,356.28
  6. Step 6: Final answer
    x = 77,389.39

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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.