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Finding the Fourth Proportional to 223,512.82, 308,321.46 and 132,898.02

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Solution

The fourth proportional to 223,512.82, 308,321.46 and 132,898.02 is: 183,324.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,512.82 : 308,321.46 = 132,898.02 : x
  2. Step 2: Convert to fraction form
    223,512.82/308,321.46 = 132,898.02/x
  3. Step 3: Cross multiply
    223,512.82x = 308,321.46 × 132,898.02
  4. Step 4: Simplify right side
    223,512.82x = 40,975,311,557.51
  5. Step 5: Solve for x
    x = 40,975,311,557.51/223,512.82
  6. Step 6: Final answer
    x = 183,324.21

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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.