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Finding the Fourth Proportional to 231,808.88, 319,582.17 and 198,178.64

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Solution

The fourth proportional to 231,808.88, 319,582.17 and 198,178.64 is: 273,218.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,808.88 : 319,582.17 = 198,178.64 : x
  2. Step 2: Convert to fraction form
    231,808.88/319,582.17 = 198,178.64/x
  3. Step 3: Cross multiply
    231,808.88x = 319,582.17 × 198,178.64
  4. Step 4: Simplify right side
    231,808.88x = 63,334,359,818.85
  5. Step 5: Solve for x
    x = 63,334,359,818.85/231,808.88
  6. Step 6: Final answer
    x = 273,218.01

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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.