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Finding the Fourth Proportional to 260,725.14, 359,775.81 and 207,139.86

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Solution

The fourth proportional to 260,725.14, 359,775.81 and 207,139.86 is: 285,833.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,725.14 : 359,775.81 = 207,139.86 : x
  2. Step 2: Convert to fraction form
    260,725.14/359,775.81 = 207,139.86/x
  3. Step 3: Cross multiply
    260,725.14x = 359,775.81 × 207,139.86
  4. Step 4: Simplify right side
    260,725.14x = 74,523,910,914.79
  5. Step 5: Solve for x
    x = 74,523,910,914.79/260,725.14
  6. Step 6: Final answer
    x = 285,833.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.