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Finding the Fourth Proportional to 213,484.94, 294,601.17 and 116,687.98

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Solution

The fourth proportional to 213,484.94, 294,601.17 and 116,687.98 is: 161,025.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,484.94 : 294,601.17 = 116,687.98 : x
  2. Step 2: Convert to fraction form
    213,484.94/294,601.17 = 116,687.98/x
  3. Step 3: Cross multiply
    213,484.94x = 294,601.17 × 116,687.98
  4. Step 4: Simplify right side
    213,484.94x = 34,376,415,912.38
  5. Step 5: Solve for x
    x = 34,376,415,912.38/213,484.94
  6. Step 6: Final answer
    x = 161,025.01

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Why These Related Problems?

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