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Finding the Fourth Proportional to 233,949.70, 350,955.82 and 82,110.74

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Solution

The fourth proportional to 233,949.70, 350,955.82 and 82,110.74 is: 123,177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,949.70 : 350,955.82 = 82,110.74 : x
  2. Step 2: Convert to fraction form
    233,949.70/350,955.82 = 82,110.74/x
  3. Step 3: Cross multiply
    233,949.70x = 350,955.82 × 82,110.74
  4. Step 4: Simplify right side
    233,949.70x = 28,817,242,087.51
  5. Step 5: Solve for x
    x = 28,817,242,087.51/233,949.70
  6. Step 6: Final answer
    x = 123,177.09

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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.