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Finding the Fourth Proportional to 223,584.32, 308,546.13 and 128,091.39

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Solution

The fourth proportional to 223,584.32, 308,546.13 and 128,091.39 is: 176,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,584.32 : 308,546.13 = 128,091.39 : x
  2. Step 2: Convert to fraction form
    223,584.32/308,546.13 = 128,091.39/x
  3. Step 3: Cross multiply
    223,584.32x = 308,546.13 × 128,091.39
  4. Step 4: Simplify right side
    223,584.32x = 39,522,102,670.82
  5. Step 5: Solve for x
    x = 39,522,102,670.82/223,584.32
  6. Step 6: Final answer
    x = 176,765.99

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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.