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Finding the Fourth Proportional to 159,137.28, 238,695.12 and 114,844.32

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Solution

The fourth proportional to 159,137.28, 238,695.12 and 114,844.32 is: 172,258.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,137.28 : 238,695.12 = 114,844.32 : x
  2. Step 2: Convert to fraction form
    159,137.28/238,695.12 = 114,844.32/x
  3. Step 3: Cross multiply
    159,137.28x = 238,695.12 × 114,844.32
  4. Step 4: Simplify right side
    159,137.28x = 27,412,778,743.72
  5. Step 5: Solve for x
    x = 27,412,778,743.72/159,137.28
  6. Step 6: Final answer
    x = 172,258.69

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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.