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Finding the Fourth Proportional to 338,893.90, 508,344.52 and 102,238.64

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Solution

The fourth proportional to 338,893.90, 508,344.52 and 102,238.64 is: 153,359.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,893.90 : 508,344.52 = 102,238.64 : x
  2. Step 2: Convert to fraction form
    338,893.90/508,344.52 = 102,238.64/x
  3. Step 3: Cross multiply
    338,893.90x = 508,344.52 × 102,238.64
  4. Step 4: Simplify right side
    338,893.90x = 51,972,452,376.25
  5. Step 5: Solve for x
    x = 51,972,452,376.25/338,893.90
  6. Step 6: Final answer
    x = 153,359.07

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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.