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Finding the Fourth Proportional to 186,299.31, 257,128.48 and 105,734.38

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Solution

The fourth proportional to 186,299.31, 257,128.48 and 105,734.38 is: 145,933.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,299.31 : 257,128.48 = 105,734.38 : x
  2. Step 2: Convert to fraction form
    186,299.31/257,128.48 = 105,734.38/x
  3. Step 3: Cross multiply
    186,299.31x = 257,128.48 × 105,734.38
  4. Step 4: Simplify right side
    186,299.31x = 27,187,320,413.14
  5. Step 5: Solve for x
    x = 27,187,320,413.14/186,299.31
  6. Step 6: Final answer
    x = 145,933.55

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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.