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Finding the Fourth Proportional to 186,817.72, 257,814.16 and 106,256.86

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Solution

The fourth proportional to 186,817.72, 257,814.16 and 106,256.86 is: 146,637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,817.72 : 257,814.16 = 106,256.86 : x
  2. Step 2: Convert to fraction form
    186,817.72/257,814.16 = 106,256.86/x
  3. Step 3: Cross multiply
    186,817.72x = 257,814.16 × 106,256.86
  4. Step 4: Simplify right side
    186,817.72x = 27,394,523,105.14
  5. Step 5: Solve for x
    x = 27,394,523,105.14/186,817.72
  6. Step 6: Final answer
    x = 146,637.71

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1.5x scale

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.