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Finding the Fourth Proportional to 167,828.96, 231,605.52 and 92,378

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Solution

The fourth proportional to 167,828.96, 231,605.52 and 92,378 is: 127,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,828.96 : 231,605.52 = 92,378 : x
  2. Step 2: Convert to fraction form
    167,828.96/231,605.52 = 92,378/x
  3. Step 3: Cross multiply
    167,828.96x = 231,605.52 × 92,378
  4. Step 4: Simplify right side
    167,828.96x = 21,395,254,726.56
  5. Step 5: Solve for x
    x = 21,395,254,726.56/167,828.96
  6. Step 6: Final answer
    x = 127,482.50

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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.