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Finding the Fourth Proportional to 175,871.39, 263,807.19 and 123,514.61

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Solution

The fourth proportional to 175,871.39, 263,807.19 and 123,514.61 is: 185,271.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,871.39 : 263,807.19 = 123,514.61 : x
  2. Step 2: Convert to fraction form
    175,871.39/263,807.19 = 123,514.61/x
  3. Step 3: Cross multiply
    175,871.39x = 263,807.19 × 123,514.61
  4. Step 4: Simplify right side
    175,871.39x = 32,584,042,188.05
  5. Step 5: Solve for x
    x = 32,584,042,188.05/175,871.39
  6. Step 6: Final answer
    x = 185,271.99

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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.