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Finding the Fourth Proportional to 135,833.04, 203,739.84 and 42,336

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Solution

The fourth proportional to 135,833.04, 203,739.84 and 42,336 is: 63,500.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,833.04 : 203,739.84 = 42,336 : x
  2. Step 2: Convert to fraction form
    135,833.04/203,739.84 = 42,336/x
  3. Step 3: Cross multiply
    135,833.04x = 203,739.84 × 42,336
  4. Step 4: Simplify right side
    135,833.04x = 8,625,529,866.24
  5. Step 5: Solve for x
    x = 8,625,529,866.24/135,833.04
  6. Step 6: Final answer
    x = 63,500.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.