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Finding the Fourth Proportional to 194,675.08, 268,635.52 and 109,813

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Solution

The fourth proportional to 194,675.08, 268,635.52 and 109,813 is: 151,532.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,675.08 : 268,635.52 = 109,813 : x
  2. Step 2: Convert to fraction form
    194,675.08/268,635.52 = 109,813/x
  3. Step 3: Cross multiply
    194,675.08x = 268,635.52 × 109,813
  4. Step 4: Simplify right side
    194,675.08x = 29,499,672,357.76
  5. Step 5: Solve for x
    x = 29,499,672,357.76/194,675.08
  6. Step 6: Final answer
    x = 151,532.86

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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.