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Finding the Fourth Proportional to 223,361.28, 308,230.11 and 127,876.86

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Solution

The fourth proportional to 223,361.28, 308,230.11 and 127,876.86 is: 176,465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,361.28 : 308,230.11 = 127,876.86 : x
  2. Step 2: Convert to fraction form
    223,361.28/308,230.11 = 127,876.86/x
  3. Step 3: Cross multiply
    223,361.28x = 308,230.11 × 127,876.86
  4. Step 4: Simplify right side
    223,361.28x = 39,415,498,624.25
  5. Step 5: Solve for x
    x = 39,415,498,624.25/223,361.28
  6. Step 6: Final answer
    x = 176,465.23

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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.