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Finding the Fourth Proportional to 193,105.56, 266,435.64 and 116,564.16

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Solution

The fourth proportional to 193,105.56, 266,435.64 and 116,564.16 is: 160,828.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,105.56 : 266,435.64 = 116,564.16 : x
  2. Step 2: Convert to fraction form
    193,105.56/266,435.64 = 116,564.16/x
  3. Step 3: Cross multiply
    193,105.56x = 266,435.64 × 116,564.16
  4. Step 4: Simplify right side
    193,105.56x = 31,056,846,570.66
  5. Step 5: Solve for x
    x = 31,056,846,570.66/193,105.56
  6. Step 6: Final answer
    x = 160,828.34

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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.