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Finding the Fourth Proportional to 259,725.20, 389,587.80 and 207,237.20

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Solution

The fourth proportional to 259,725.20, 389,587.80 and 207,237.20 is: 310,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,725.20 : 389,587.80 = 207,237.20 : x
  2. Step 2: Convert to fraction form
    259,725.20/389,587.80 = 207,237.20/x
  3. Step 3: Cross multiply
    259,725.20x = 389,587.80 × 207,237.20
  4. Step 4: Simplify right side
    259,725.20x = 80,737,084,826.16
  5. Step 5: Solve for x
    x = 80,737,084,826.16/259,725.20
  6. Step 6: Final answer
    x = 310,855.80

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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.