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Finding the Fourth Proportional to 186,749.38, 257,703.78 and 106,165.72

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Solution

The fourth proportional to 186,749.38, 257,703.78 and 106,165.72 is: 146,502.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,749.38 : 257,703.78 = 106,165.72 : x
  2. Step 2: Convert to fraction form
    186,749.38/257,703.78 = 106,165.72/x
  3. Step 3: Cross multiply
    186,749.38x = 257,703.78 × 106,165.72
  4. Step 4: Simplify right side
    186,749.38x = 27,359,307,350.42
  5. Step 5: Solve for x
    x = 27,359,307,350.42/186,749.38
  6. Step 6: Final answer
    x = 146,502.80

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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.