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Finding the Fourth Proportional to 151,856.56, 209,562.44 and 84,790.96

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Solution

The fourth proportional to 151,856.56, 209,562.44 and 84,790.96 is: 117,011.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,856.56 : 209,562.44 = 84,790.96 : x
  2. Step 2: Convert to fraction form
    151,856.56/209,562.44 = 84,790.96/x
  3. Step 3: Cross multiply
    151,856.56x = 209,562.44 × 84,790.96
  4. Step 4: Simplify right side
    151,856.56x = 17,769,000,467.54
  5. Step 5: Solve for x
    x = 17,769,000,467.54/151,856.56
  6. Step 6: Final answer
    x = 117,011.74

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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.