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Finding the Fourth Proportional to 214,978.52, 296,803.14 and 138,524.60

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Solution

The fourth proportional to 214,978.52, 296,803.14 and 138,524.60 is: 191,249.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,978.52 : 296,803.14 = 138,524.60 : x
  2. Step 2: Convert to fraction form
    214,978.52/296,803.14 = 138,524.60/x
  3. Step 3: Cross multiply
    214,978.52x = 296,803.14 × 138,524.60
  4. Step 4: Simplify right side
    214,978.52x = 41,114,536,247.24
  5. Step 5: Solve for x
    x = 41,114,536,247.24/214,978.52
  6. Step 6: Final answer
    x = 191,249.51

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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.