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Finding the Fourth Proportional to 186,297.31, 257,125.72 and 105,732.38

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Solution

The fourth proportional to 186,297.31, 257,125.72 and 105,732.38 is: 145,930.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,297.31 : 257,125.72 = 105,732.38 : x
  2. Step 2: Convert to fraction form
    186,297.31/257,125.72 = 105,732.38/x
  3. Step 3: Cross multiply
    186,297.31x = 257,125.72 × 105,732.38
  4. Step 4: Simplify right side
    186,297.31x = 27,186,513,806.15
  5. Step 5: Solve for x
    x = 27,186,513,806.15/186,297.31
  6. Step 6: Final answer
    x = 145,930.79

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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.