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Finding the Fourth Proportional to 194,425, 268,306.50 and 105,001

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Solution

The fourth proportional to 194,425, 268,306.50 and 105,001 is: 144,901.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,425 : 268,306.50 = 105,001 : x
  2. Step 2: Convert to fraction form
    194,425/268,306.50 = 105,001/x
  3. Step 3: Cross multiply
    194,425x = 268,306.50 × 105,001
  4. Step 4: Simplify right side
    194,425x = 28,172,450,806.50
  5. Step 5: Solve for x
    x = 28,172,450,806.50/194,425
  6. Step 6: Final answer
    x = 144,901.38

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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.