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Finding the Fourth Proportional to 159,362.54, 238,956.28 and 109,455.20

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Solution

The fourth proportional to 159,362.54, 238,956.28 and 109,455.20 is: 164,122.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,362.54 : 238,956.28 = 109,455.20 : x
  2. Step 2: Convert to fraction form
    159,362.54/238,956.28 = 109,455.20/x
  3. Step 3: Cross multiply
    159,362.54x = 238,956.28 × 109,455.20
  4. Step 4: Simplify right side
    159,362.54x = 26,155,007,418.66
  5. Step 5: Solve for x
    x = 26,155,007,418.66/159,362.54
  6. Step 6: Final answer
    x = 164,122.68

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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.