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Finding the Fourth Proportional to 158,873.24, 238,344.12 and 53,689.88

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Solution

The fourth proportional to 158,873.24, 238,344.12 and 53,689.88 is: 80,546.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,873.24 : 238,344.12 = 53,689.88 : x
  2. Step 2: Convert to fraction form
    158,873.24/238,344.12 = 53,689.88/x
  3. Step 3: Cross multiply
    158,873.24x = 238,344.12 × 53,689.88
  4. Step 4: Simplify right side
    158,873.24x = 12,796,667,201.51
  5. Step 5: Solve for x
    x = 12,796,667,201.51/158,873.24
  6. Step 6: Final answer
    x = 80,546.40

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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.