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Finding the Fourth Proportional to 233,979.92, 322,892.34 and 132,027.02

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Solution

The fourth proportional to 233,979.92, 322,892.34 and 132,027.02 is: 182,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,979.92 : 322,892.34 = 132,027.02 : x
  2. Step 2: Convert to fraction form
    233,979.92/322,892.34 = 132,027.02/x
  3. Step 3: Cross multiply
    233,979.92x = 322,892.34 × 132,027.02
  4. Step 4: Simplify right side
    233,979.92x = 42,630,513,431.03
  5. Step 5: Solve for x
    x = 42,630,513,431.03/233,979.92
  6. Step 6: Final answer
    x = 182,197.32

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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.