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Finding the Fourth Proportional to 201,546.72, 278,171.28 and 116,671.68

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Solution

The fourth proportional to 201,546.72, 278,171.28 and 116,671.68 is: 161,028.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,546.72 : 278,171.28 = 116,671.68 : x
  2. Step 2: Convert to fraction form
    201,546.72/278,171.28 = 116,671.68/x
  3. Step 3: Cross multiply
    201,546.72x = 278,171.28 × 116,671.68
  4. Step 4: Simplify right side
    201,546.72x = 32,454,710,565.35
  5. Step 5: Solve for x
    x = 32,454,710,565.35/201,546.72
  6. Step 6: Final answer
    x = 161,028.22

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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.