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Finding the Fourth Proportional to 194,900.66, 268,962.91 and 105,476.66

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Solution

The fourth proportional to 194,900.66, 268,962.91 and 105,476.66 is: 145,557.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,900.66 : 268,962.91 = 105,476.66 : x
  2. Step 2: Convert to fraction form
    194,900.66/268,962.91 = 105,476.66/x
  3. Step 3: Cross multiply
    194,900.66x = 268,962.91 × 105,476.66
  4. Step 4: Simplify right side
    194,900.66x = 28,369,309,410.68
  5. Step 5: Solve for x
    x = 28,369,309,410.68/194,900.66
  6. Step 6: Final answer
    x = 145,557.79

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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.