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Finding the Fourth Proportional to 151,474.92, 209,034.44 and 82,564.32

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Solution

The fourth proportional to 151,474.92, 209,034.44 and 82,564.32 is: 113,938.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,474.92 : 209,034.44 = 82,564.32 : x
  2. Step 2: Convert to fraction form
    151,474.92/209,034.44 = 82,564.32/x
  3. Step 3: Cross multiply
    151,474.92x = 209,034.44 × 82,564.32
  4. Step 4: Simplify right side
    151,474.92x = 17,258,786,395.18
  5. Step 5: Solve for x
    x = 17,258,786,395.18/151,474.92
  6. Step 6: Final answer
    x = 113,938.24

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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.