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Finding the Fourth Proportional to 266,795.37, 400,193.73 and 109,023.84

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Solution

The fourth proportional to 266,795.37, 400,193.73 and 109,023.84 is: 163,536.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,795.37 : 400,193.73 = 109,023.84 : x
  2. Step 2: Convert to fraction form
    266,795.37/400,193.73 = 109,023.84/x
  3. Step 3: Cross multiply
    266,795.37x = 400,193.73 × 109,023.84
  4. Step 4: Simplify right side
    266,795.37x = 43,630,657,188.52
  5. Step 5: Solve for x
    x = 43,630,657,188.52/266,795.37
  6. Step 6: Final answer
    x = 163,536.04

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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.