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Finding the Fourth Proportional to 109,336.40, 164,033.40 and 39,208.40

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Solution

The fourth proportional to 109,336.40, 164,033.40 and 39,208.40 is: 58,822.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,336.40 : 164,033.40 = 39,208.40 : x
  2. Step 2: Convert to fraction form
    109,336.40/164,033.40 = 39,208.40/x
  3. Step 3: Cross multiply
    109,336.40x = 164,033.40 × 39,208.40
  4. Step 4: Simplify right side
    109,336.40x = 6,431,487,160.56
  5. Step 5: Solve for x
    x = 6,431,487,160.56/109,336.40
  6. Step 6: Final answer
    x = 58,822.93

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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.