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Finding the Fourth Proportional to 233,276.28, 321,755.42 and 155,712.80

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Solution

The fourth proportional to 233,276.28, 321,755.42 and 155,712.80 is: 214,772.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,276.28 : 321,755.42 = 155,712.80 : x
  2. Step 2: Convert to fraction form
    233,276.28/321,755.42 = 155,712.80/x
  3. Step 3: Cross multiply
    233,276.28x = 321,755.42 × 155,712.80
  4. Step 4: Simplify right side
    233,276.28x = 50,101,437,363.38
  5. Step 5: Solve for x
    x = 50,101,437,363.38/233,276.28
  6. Step 6: Final answer
    x = 214,772.96

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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.