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Finding the Fourth Proportional to 189,735.75, 261,835.34 and 114,298.83

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Solution

The fourth proportional to 189,735.75, 261,835.34 and 114,298.83 is: 157,732.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,735.75 : 261,835.34 = 114,298.83 : x
  2. Step 2: Convert to fraction form
    189,735.75/261,835.34 = 114,298.83/x
  3. Step 3: Cross multiply
    189,735.75x = 261,835.34 × 114,298.83
  4. Step 4: Simplify right side
    189,735.75x = 29,927,472,443.16
  5. Step 5: Solve for x
    x = 29,927,472,443.16/189,735.75
  6. Step 6: Final answer
    x = 157,732.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.