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Finding the Fourth Proportional to 231,414, 346,988.16 and 91,096.08

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Solution

The fourth proportional to 231,414, 346,988.16 and 91,096.08 is: 136,591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,414 : 346,988.16 = 91,096.08 : x
  2. Step 2: Convert to fraction form
    231,414/346,988.16 = 91,096.08/x
  3. Step 3: Cross multiply
    231,414x = 346,988.16 × 91,096.08
  4. Step 4: Simplify right side
    231,414x = 31,609,261,182.41
  5. Step 5: Solve for x
    x = 31,609,261,182.41/231,414
  6. Step 6: Final answer
    x = 136,591.83

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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.