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Finding the Fourth Proportional to 213,134.39, 294,123.86 and 117,641.06

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Solution

The fourth proportional to 213,134.39, 294,123.86 and 117,641.06 is: 162,343.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,134.39 : 294,123.86 = 117,641.06 : x
  2. Step 2: Convert to fraction form
    213,134.39/294,123.86 = 117,641.06/x
  3. Step 3: Cross multiply
    213,134.39x = 294,123.86 × 117,641.06
  4. Step 4: Simplify right side
    213,134.39x = 34,601,042,146.99
  5. Step 5: Solve for x
    x = 34,601,042,146.99/213,134.39
  6. Step 6: Final answer
    x = 162,343.78

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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.