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Finding the Fourth Proportional to 260,031.80, 389,756.10 and 133,623.20

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Solution

The fourth proportional to 260,031.80, 389,756.10 and 133,623.20 is: 200,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,031.80 : 389,756.10 = 133,623.20 : x
  2. Step 2: Convert to fraction form
    260,031.80/389,756.10 = 133,623.20/x
  3. Step 3: Cross multiply
    260,031.80x = 389,756.10 × 133,623.20
  4. Step 4: Simplify right side
    260,031.80x = 52,080,457,301.52
  5. Step 5: Solve for x
    x = 52,080,457,301.52/260,031.80
  6. Step 6: Final answer
    x = 200,284.95

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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.