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Finding the Fourth Proportional to 265,970.97, 398,611.76 and 108,015.93

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Solution

The fourth proportional to 265,970.97, 398,611.76 and 108,015.93 is: 161,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,970.97 : 398,611.76 = 108,015.93 : x
  2. Step 2: Convert to fraction form
    265,970.97/398,611.76 = 108,015.93/x
  3. Step 3: Cross multiply
    265,970.97x = 398,611.76 × 108,015.93
  4. Step 4: Simplify right side
    265,970.97x = 43,056,419,425.26
  5. Step 5: Solve for x
    x = 43,056,419,425.26/265,970.97
  6. Step 6: Final answer
    x = 161,883.91

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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.