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Finding the Fourth Proportional to 338,889.90, 508,338.52 and 102,234.64

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Solution

The fourth proportional to 338,889.90, 508,338.52 and 102,234.64 is: 153,353.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,889.90 : 508,338.52 = 102,234.64 : x
  2. Step 2: Convert to fraction form
    338,889.90/508,338.52 = 102,234.64/x
  3. Step 3: Cross multiply
    338,889.90x = 508,338.52 × 102,234.64
  4. Step 4: Simplify right side
    338,889.90x = 51,969,805,590.33
  5. Step 5: Solve for x
    x = 51,969,805,590.33/338,889.90
  6. Step 6: Final answer
    x = 153,353.07

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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.