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Finding the Fourth Proportional to 128,586.38, 177,408.19 and 83,299.07

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Solution

The fourth proportional to 128,586.38, 177,408.19 and 83,299.07 is: 114,926.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,586.38 : 177,408.19 = 83,299.07 : x
  2. Step 2: Convert to fraction form
    128,586.38/177,408.19 = 83,299.07/x
  3. Step 3: Cross multiply
    128,586.38x = 177,408.19 × 83,299.07
  4. Step 4: Simplify right side
    128,586.38x = 14,777,937,785.03
  5. Step 5: Solve for x
    x = 14,777,937,785.03/128,586.38
  6. Step 6: Final answer
    x = 114,926.16

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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.