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Finding the Fourth Proportional to 186,593.35, 257,489.10 and 106,009.69

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Solution

The fourth proportional to 186,593.35, 257,489.10 and 106,009.69 is: 146,287.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,593.35 : 257,489.10 = 106,009.69 : x
  2. Step 2: Convert to fraction form
    186,593.35/257,489.10 = 106,009.69/x
  3. Step 3: Cross multiply
    186,593.35x = 257,489.10 × 106,009.69
  4. Step 4: Simplify right side
    186,593.35x = 27,296,339,423.19
  5. Step 5: Solve for x
    x = 27,296,339,423.19/186,593.35
  6. Step 6: Final answer
    x = 146,287.85

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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.