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Finding the Fourth Proportional to 223,664.80, 334,525.20 and 200,142.40

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Solution

The fourth proportional to 223,664.80, 334,525.20 and 200,142.40 is: 299,343.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,664.80 : 334,525.20 = 200,142.40 : x
  2. Step 2: Convert to fraction form
    223,664.80/334,525.20 = 200,142.40/x
  3. Step 3: Cross multiply
    223,664.80x = 334,525.20 × 200,142.40
  4. Step 4: Simplify right side
    223,664.80x = 66,952,676,388.48
  5. Step 5: Solve for x
    x = 66,952,676,388.48/223,664.80
  6. Step 6: Final answer
    x = 299,343.82

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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.