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Finding the Fourth Proportional to 259,425.46, 389,302.20 and 152,809.20

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Solution

The fourth proportional to 259,425.46, 389,302.20 and 152,809.20 is: 229,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,425.46 : 389,302.20 = 152,809.20 : x
  2. Step 2: Convert to fraction form
    259,425.46/389,302.20 = 152,809.20/x
  3. Step 3: Cross multiply
    259,425.46x = 389,302.20 × 152,809.20
  4. Step 4: Simplify right side
    259,425.46x = 59,488,957,740.24
  5. Step 5: Solve for x
    x = 59,488,957,740.24/259,425.46
  6. Step 6: Final answer
    x = 229,310.41

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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.