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Finding the Fourth Proportional to 202,668.20, 304,002.30 and 54,924.20

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Solution

The fourth proportional to 202,668.20, 304,002.30 and 54,924.20 is: 82,386.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,668.20 : 304,002.30 = 54,924.20 : x
  2. Step 2: Convert to fraction form
    202,668.20/304,002.30 = 54,924.20/x
  3. Step 3: Cross multiply
    202,668.20x = 304,002.30 × 54,924.20
  4. Step 4: Simplify right side
    202,668.20x = 16,697,083,125.66
  5. Step 5: Solve for x
    x = 16,697,083,125.66/202,668.20
  6. Step 6: Final answer
    x = 82,386.30

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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.