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Finding the Fourth Proportional to 223,786.92, 308,832.75 and 158,492.72

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Solution

The fourth proportional to 223,786.92, 308,832.75 and 158,492.72 is: 218,724.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,786.92 : 308,832.75 = 158,492.72 : x
  2. Step 2: Convert to fraction form
    223,786.92/308,832.75 = 158,492.72/x
  3. Step 3: Cross multiply
    223,786.92x = 308,832.75 × 158,492.72
  4. Step 4: Simplify right side
    223,786.92x = 48,947,741,592.19
  5. Step 5: Solve for x
    x = 48,947,741,592.19/223,786.92
  6. Step 6: Final answer
    x = 218,724.77

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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.