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Finding the Fourth Proportional to 264,873.64, 397,301.66 and 115,114.08

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Solution

The fourth proportional to 264,873.64, 397,301.66 and 115,114.08 is: 172,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,873.64 : 397,301.66 = 115,114.08 : x
  2. Step 2: Convert to fraction form
    264,873.64/397,301.66 = 115,114.08/x
  3. Step 3: Cross multiply
    264,873.64x = 397,301.66 × 115,114.08
  4. Step 4: Simplify right side
    264,873.64x = 45,735,015,073.37
  5. Step 5: Solve for x
    x = 45,735,015,073.37/264,873.64
  6. Step 6: Final answer
    x = 172,667.30

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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.