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Finding the Fourth Proportional to 215,098.32, 296,822.64 and 119,601.60

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Solution

The fourth proportional to 215,098.32, 296,822.64 and 119,601.60 is: 165,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,098.32 : 296,822.64 = 119,601.60 : x
  2. Step 2: Convert to fraction form
    215,098.32/296,822.64 = 119,601.60/x
  3. Step 3: Cross multiply
    215,098.32x = 296,822.64 × 119,601.60
  4. Step 4: Simplify right side
    215,098.32x = 35,500,462,660.22
  5. Step 5: Solve for x
    x = 35,500,462,660.22/215,098.32
  6. Step 6: Final answer
    x = 165,042.96

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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.