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Finding the Fourth Proportional to 201,363, 302,045.46 and 53,619

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Solution

The fourth proportional to 201,363, 302,045.46 and 53,619 is: 80,428.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,363 : 302,045.46 = 53,619 : x
  2. Step 2: Convert to fraction form
    201,363/302,045.46 = 53,619/x
  3. Step 3: Cross multiply
    201,363x = 302,045.46 × 53,619
  4. Step 4: Simplify right side
    201,363x = 16,195,375,519.74
  5. Step 5: Solve for x
    x = 16,195,375,519.74/201,363
  6. Step 6: Final answer
    x = 80,428.76

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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.