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Finding the Fourth Proportional to 231,757.68, 319,803.48 and 184,126.32

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Solution

The fourth proportional to 231,757.68, 319,803.48 and 184,126.32 is: 254,076.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,757.68 : 319,803.48 = 184,126.32 : x
  2. Step 2: Convert to fraction form
    231,757.68/319,803.48 = 184,126.32/x
  3. Step 3: Cross multiply
    231,757.68x = 319,803.48 × 184,126.32
  4. Step 4: Simplify right side
    231,757.68x = 58,884,237,895.59
  5. Step 5: Solve for x
    x = 58,884,237,895.59/231,757.68
  6. Step 6: Final answer
    x = 254,076.75

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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.