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Finding the Fourth Proportional to 193,022.38, 266,408.76 and 116,554.06

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Solution

The fourth proportional to 193,022.38, 266,408.76 and 116,554.06 is: 160,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,022.38 : 266,408.76 = 116,554.06 : x
  2. Step 2: Convert to fraction form
    193,022.38/266,408.76 = 116,554.06/x
  3. Step 3: Cross multiply
    193,022.38x = 266,408.76 × 116,554.06
  4. Step 4: Simplify right side
    193,022.38x = 31,051,022,597.57
  5. Step 5: Solve for x
    x = 31,051,022,597.57/193,022.38
  6. Step 6: Final answer
    x = 160,867.47

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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.