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Finding the Fourth Proportional to 194,893.75, 268,953.51 and 105,469.75

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Solution

The fourth proportional to 194,893.75, 268,953.51 and 105,469.75 is: 145,548.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,893.75 : 268,953.51 = 105,469.75 : x
  2. Step 2: Convert to fraction form
    194,893.75/268,953.51 = 105,469.75/x
  3. Step 3: Cross multiply
    194,893.75x = 268,953.51 × 105,469.75
  4. Step 4: Simplify right side
    194,893.75x = 28,366,459,461.32
  5. Step 5: Solve for x
    x = 28,366,459,461.32/194,893.75
  6. Step 6: Final answer
    x = 145,548.33

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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.