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Finding the Fourth Proportional to 264,701.83, 397,051.80 and 114,922.57

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Solution

The fourth proportional to 264,701.83, 397,051.80 and 114,922.57 is: 172,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,701.83 : 397,051.80 = 114,922.57 : x
  2. Step 2: Convert to fraction form
    264,701.83/397,051.80 = 114,922.57/x
  3. Step 3: Cross multiply
    264,701.83x = 397,051.80 × 114,922.57
  4. Step 4: Simplify right side
    264,701.83x = 45,630,213,279.13
  5. Step 5: Solve for x
    x = 45,630,213,279.13/264,701.83
  6. Step 6: Final answer
    x = 172,383.44

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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.