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Finding the Fourth Proportional to 137,894.76, 190,295.46 and 77,467.96

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Solution

The fourth proportional to 137,894.76, 190,295.46 and 77,467.96 is: 106,906.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,894.76 : 190,295.46 = 77,467.96 : x
  2. Step 2: Convert to fraction form
    137,894.76/190,295.46 = 77,467.96/x
  3. Step 3: Cross multiply
    137,894.76x = 190,295.46 × 77,467.96
  4. Step 4: Simplify right side
    137,894.76x = 14,741,801,083.46
  5. Step 5: Solve for x
    x = 14,741,801,083.46/137,894.76
  6. Step 6: Final answer
    x = 106,906.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.