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Finding the Fourth Proportional to 231,716, 319,768.08 and 131,114.08

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Solution

The fourth proportional to 231,716, 319,768.08 and 131,114.08 is: 180,937.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,716 : 319,768.08 = 131,114.08 : x
  2. Step 2: Convert to fraction form
    231,716/319,768.08 = 131,114.08/x
  3. Step 3: Cross multiply
    231,716x = 319,768.08 × 131,114.08
  4. Step 4: Simplify right side
    231,716x = 41,926,097,622.57
  5. Step 5: Solve for x
    x = 41,926,097,622.57/231,716
  6. Step 6: Final answer
    x = 180,937.43

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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.