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Finding the Fourth Proportional to 136,388, 204,584.56 and 37,894.56

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Solution

The fourth proportional to 136,388, 204,584.56 and 37,894.56 is: 56,842.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,388 : 204,584.56 = 37,894.56 : x
  2. Step 2: Convert to fraction form
    136,388/204,584.56 = 37,894.56/x
  3. Step 3: Cross multiply
    136,388x = 204,584.56 × 37,894.56
  4. Step 4: Simplify right side
    136,388x = 7,752,641,883.99
  5. Step 5: Solve for x
    x = 7,752,641,883.99/136,388
  6. Step 6: Final answer
    x = 56,842.55

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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.