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Finding the Fourth Proportional to 194,856.70, 268,909.76 and 109,971.94

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Solution

The fourth proportional to 194,856.70, 268,909.76 and 109,971.94 is: 151,765.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,856.70 : 268,909.76 = 109,971.94 : x
  2. Step 2: Convert to fraction form
    194,856.70/268,909.76 = 109,971.94/x
  3. Step 3: Cross multiply
    194,856.70x = 268,909.76 × 109,971.94
  4. Step 4: Simplify right side
    194,856.70x = 29,572,527,992.13
  5. Step 5: Solve for x
    x = 29,572,527,992.13/194,856.70
  6. Step 6: Final answer
    x = 151,765.52

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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.