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Finding the Fourth Proportional to 233,211.20, 349,816.80 and 205,563.20

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Solution

The fourth proportional to 233,211.20, 349,816.80 and 205,563.20 is: 308,344.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,211.20 : 349,816.80 = 205,563.20 : x
  2. Step 2: Convert to fraction form
    233,211.20/349,816.80 = 205,563.20/x
  3. Step 3: Cross multiply
    233,211.20x = 349,816.80 × 205,563.20
  4. Step 4: Simplify right side
    233,211.20x = 71,909,460,821.76
  5. Step 5: Solve for x
    x = 71,909,460,821.76/233,211.20
  6. Step 6: Final answer
    x = 308,344.80

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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.