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Finding the Fourth Proportional to 233,721.60, 350,755.20 and 154,809.60

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Solution

The fourth proportional to 233,721.60, 350,755.20 and 154,809.60 is: 232,328.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,721.60 : 350,755.20 = 154,809.60 : x
  2. Step 2: Convert to fraction form
    233,721.60/350,755.20 = 154,809.60/x
  3. Step 3: Cross multiply
    233,721.60x = 350,755.20 × 154,809.60
  4. Step 4: Simplify right side
    233,721.60x = 54,300,272,209.92
  5. Step 5: Solve for x
    x = 54,300,272,209.92/233,721.60
  6. Step 6: Final answer
    x = 232,328.86

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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.