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Finding the Fourth Proportional to 194,313.52, 268,153.44 and 109,432

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Solution

The fourth proportional to 194,313.52, 268,153.44 and 109,432 is: 151,016.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,313.52 : 268,153.44 = 109,432 : x
  2. Step 2: Convert to fraction form
    194,313.52/268,153.44 = 109,432/x
  3. Step 3: Cross multiply
    194,313.52x = 268,153.44 × 109,432
  4. Step 4: Simplify right side
    194,313.52x = 29,344,567,246.08
  5. Step 5: Solve for x
    x = 29,344,567,246.08/194,313.52
  6. Step 6: Final answer
    x = 151,016.60

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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.