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Finding the Fourth Proportional to 186,568.89, 257,472 and 106,010.07

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Solution

The fourth proportional to 186,568.89, 257,472 and 106,010.07 is: 146,297.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,568.89 : 257,472 = 106,010.07 : x
  2. Step 2: Convert to fraction form
    186,568.89/257,472 = 106,010.07/x
  3. Step 3: Cross multiply
    186,568.89x = 257,472 × 106,010.07
  4. Step 4: Simplify right side
    186,568.89x = 27,294,624,743.04
  5. Step 5: Solve for x
    x = 27,294,624,743.04/186,568.89
  6. Step 6: Final answer
    x = 146,297.84

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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.