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Finding the Fourth Proportional to 223,928.64, 335,776.32 and 83,571.84

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Solution

The fourth proportional to 223,928.64, 335,776.32 and 83,571.84 is: 125,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,928.64 : 335,776.32 = 83,571.84 : x
  2. Step 2: Convert to fraction form
    223,928.64/335,776.32 = 83,571.84/x
  3. Step 3: Cross multiply
    223,928.64x = 335,776.32 × 83,571.84
  4. Step 4: Simplify right side
    223,928.64x = 28,061,444,890.83
  5. Step 5: Solve for x
    x = 28,061,444,890.83/223,928.64
  6. Step 6: Final answer
    x = 125,314.23

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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.