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Finding the Fourth Proportional to 186,593.96, 257,489.94 and 106,010.30

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Solution

The fourth proportional to 186,593.96, 257,489.94 and 106,010.30 is: 146,288.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,593.96 : 257,489.94 = 106,010.30 : x
  2. Step 2: Convert to fraction form
    186,593.96/257,489.94 = 106,010.30/x
  3. Step 3: Cross multiply
    186,593.96x = 257,489.94 × 106,010.30
  4. Step 4: Simplify right side
    186,593.96x = 27,296,585,081.11
  5. Step 5: Solve for x
    x = 27,296,585,081.11/186,593.96
  6. Step 6: Final answer
    x = 146,288.69

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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.