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Finding the Fourth Proportional to 159,929.84, 239,391.75 and 109,716.32

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Solution

The fourth proportional to 159,929.84, 239,391.75 and 109,716.32 is: 164,229.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,929.84 : 239,391.75 = 109,716.32 : x
  2. Step 2: Convert to fraction form
    159,929.84/239,391.75 = 109,716.32/x
  3. Step 3: Cross multiply
    159,929.84x = 239,391.75 × 109,716.32
  4. Step 4: Simplify right side
    159,929.84x = 26,265,182,858.28
  5. Step 5: Solve for x
    x = 26,265,182,858.28/159,929.84
  6. Step 6: Final answer
    x = 164,229.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.