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Finding the Fourth Proportional to 233,265.96, 321,907.50 and 132,663.96

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Solution

The fourth proportional to 233,265.96, 321,907.50 and 132,663.96 is: 183,076.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,265.96 : 321,907.50 = 132,663.96 : x
  2. Step 2: Convert to fraction form
    233,265.96/321,907.50 = 132,663.96/x
  3. Step 3: Cross multiply
    233,265.96x = 321,907.50 × 132,663.96
  4. Step 4: Simplify right side
    233,265.96x = 42,705,523,703.70
  5. Step 5: Solve for x
    x = 42,705,523,703.70/233,265.96
  6. Step 6: Final answer
    x = 183,076.54

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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.