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Finding the Fourth Proportional to 232,798.50, 321,261.93 and 132,196.50

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Solution

The fourth proportional to 232,798.50, 321,261.93 and 132,196.50 is: 182,431.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,798.50 : 321,261.93 = 132,196.50 : x
  2. Step 2: Convert to fraction form
    232,798.50/321,261.93 = 132,196.50/x
  3. Step 3: Cross multiply
    232,798.50x = 321,261.93 × 132,196.50
  4. Step 4: Simplify right side
    232,798.50x = 42,469,702,729.25
  5. Step 5: Solve for x
    x = 42,469,702,729.25/232,798.50
  6. Step 6: Final answer
    x = 182,431.17

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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.