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Finding the Fourth Proportional to 153,872.76, 230,201.82 and 116,540.40

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Solution

The fourth proportional to 153,872.76, 230,201.82 and 116,540.40 is: 174,350.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,872.76 : 230,201.82 = 116,540.40 : x
  2. Step 2: Convert to fraction form
    153,872.76/230,201.82 = 116,540.40/x
  3. Step 3: Cross multiply
    153,872.76x = 230,201.82 × 116,540.40
  4. Step 4: Simplify right side
    153,872.76x = 26,827,812,183.53
  5. Step 5: Solve for x
    x = 26,827,812,183.53/153,872.76
  6. Step 6: Final answer
    x = 174,350.63

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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.