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Finding the Fourth Proportional to 187,093.42, 280,978.38 and 172,846.56

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Solution

The fourth proportional to 187,093.42, 280,978.38 and 172,846.56 is: 259,582.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,093.42 : 280,978.38 = 172,846.56 : x
  2. Step 2: Convert to fraction form
    187,093.42/280,978.38 = 172,846.56/x
  3. Step 3: Cross multiply
    187,093.42x = 280,978.38 × 172,846.56
  4. Step 4: Simplify right side
    187,093.42x = 48,566,146,417.37
  5. Step 5: Solve for x
    x = 48,566,146,417.37/187,093.42
  6. Step 6: Final answer
    x = 259,582.33

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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.