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Finding the Fourth Proportional to 170,419.56, 234,994.38 and 116,007

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Solution

The fourth proportional to 170,419.56, 234,994.38 and 116,007 is: 159,963.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,419.56 : 234,994.38 = 116,007 : x
  2. Step 2: Convert to fraction form
    170,419.56/234,994.38 = 116,007/x
  3. Step 3: Cross multiply
    170,419.56x = 234,994.38 × 116,007
  4. Step 4: Simplify right side
    170,419.56x = 27,260,993,040.66
  5. Step 5: Solve for x
    x = 27,260,993,040.66/170,419.56
  6. Step 6: Final answer
    x = 159,963.99

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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.