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Finding the Fourth Proportional to 233,153.20, 349,729.80 and 214,490.80

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Solution

The fourth proportional to 233,153.20, 349,729.80 and 214,490.80 is: 321,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,153.20 : 349,729.80 = 214,490.80 : x
  2. Step 2: Convert to fraction form
    233,153.20/349,729.80 = 214,490.80/x
  3. Step 3: Cross multiply
    233,153.20x = 349,729.80 × 214,490.80
  4. Step 4: Simplify right side
    233,153.20x = 75,013,824,585.84
  5. Step 5: Solve for x
    x = 75,013,824,585.84/233,153.20
  6. Step 6: Final answer
    x = 321,736.20

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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.