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Finding the Fourth Proportional to 264,873.98, 397,302.08 and 115,114.24

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Solution

The fourth proportional to 264,873.98, 397,302.08 and 115,114.24 is: 172,667.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,873.98 : 397,302.08 = 115,114.24 : x
  2. Step 2: Convert to fraction form
    264,873.98/397,302.08 = 115,114.24/x
  3. Step 3: Cross multiply
    264,873.98x = 397,302.08 × 115,114.24
  4. Step 4: Simplify right side
    264,873.98x = 45,735,126,989.62
  5. Step 5: Solve for x
    x = 45,735,126,989.62/264,873.98
  6. Step 6: Final answer
    x = 172,667.50

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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.