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Finding the Fourth Proportional to 167,382, 230,930.97 and 94,774.98

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Solution

The fourth proportional to 167,382, 230,930.97 and 94,774.98 is: 130,757.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,382 : 230,930.97 = 94,774.98 : x
  2. Step 2: Convert to fraction form
    167,382/230,930.97 = 94,774.98/x
  3. Step 3: Cross multiply
    167,382x = 230,930.97 × 94,774.98
  4. Step 4: Simplify right side
    167,382x = 21,886,478,063.13
  5. Step 5: Solve for x
    x = 21,886,478,063.13/167,382
  6. Step 6: Final answer
    x = 130,757.66

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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.